Greatest common factor multiply one find the GCF of eight and 15 number to find the GCF of 39 and 52 number 3 and a6 grade math class for four students were finding the GCF of 24 to 48 and 72 Omar said that the GCF is for Brandon said that the GCF is a Christopher said that the GCF is to Donna said that the GCF is 12 who is correct Number for April is arranging place cards for a wedding reception on a table the brides family has 154 cards and the grooms family has 140 cards she wants to arrangements for the two families to have the same number of cards in each row what is the greatest number of cards that she can place in row five Sandra has 16 rolls red roses and 40 white roses she wants to make arrangements of flowers
To find the greatest common factor (GCF), we need to find the largest number that can divide evenly into the given numbers.
1. GCF of 8 and 15:
To find the GCF of 8 and 15, we can list the factors of each number and find the largest number they have in common:
Factors of 8: 1, 2, 4, 8
Factors of 15: 1, 3, 5, 15
The largest number they have in common is 1, so the GCF of 8 and 15 is 1.
2. GCF of 39 and 52:
Listing the factors of 39: 1, 3, 13, 39
Listing the factors of 52: 1, 2, 4, 13, 26, 52
The largest number they have in common is 13, so the GCF of 39 and 52 is 13.
3. GCF of 24, 48, and 72:
Listing the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Listing the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Listing the factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The largest number they have in common is 24, so the GCF of 24, 48, and 72 is 24.
Regarding the statements made by Omar, Brandon, Christopher, and Donna about the GCF of 24, 48, and 72:
- Omar is correct as 4 is a factor of all three numbers.
- Brandon is incorrect.
- Christopher is incorrect.
- Donna is incorrect.
Moving on to the next question:
April wants to arrange place cards for a wedding reception in rows. The bride's family has 154 cards, and the groom's family has 140 cards. April wants to have the same number of cards in each row. We need to find the greatest number of cards that can be placed in each row.
To do this, we need to find the GCF of 154 and 140:
Listing the factors of 154: 1, 2, 7, 11, 14, 22, 77, 154
Listing the factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The largest number they have in common is 14, so the greatest number of cards that April can place in each row is 14.
Lastly, Sandra wants to make flower arrangements using 16 rolls of red roses and 40 white roses. The question seems to be cut off, so I will need more information to provide a complete answer.