HCF of 75, 120, 290 by long division
I guess you want to use long division to find the prime factors of each number. Go ahead, and you will find that
75 = 3 * 5^2
120 = 2^3 * 3 * 5
290 = 2 * 5 * 29
So, the highest common factor is just 5
No other factor appears in all three numbers.
To find the highest common factor (HCF) of 75, 120, and 290 by long division, you can follow these steps:
Step 1: Write down the numbers you want to find the HCF for: 75, 120, and 290.
Step 2: Start by dividing the largest number (290) by the smallest number (75) using long division. The quotient is the whole number result of the division, and the remainder is the leftover value.
Like this:
______
75 | 290
Step 3: Divide 290 by 75. The quotient is 3, and the remainder is 65.
3
______
75 | 290
-225
___
65
Step 4: Now, take the divisor (75) and the remainder (65) and divide 75 by 65.
3
______
75 | 290
- 225
______
65
- 60
Step 5: Repeat Step 4 with the divisor (65) and the new remainder (60). Divide 65 by 60.
3
______
75 | 290
- 225
______
65
- 60
_____
5
Step 6: Repeat Step 5 until the remainder becomes 0. In this case, after dividing 60 by 5, the remainder is 0.
3
______
75 | 290
- 225
______
65
- 60
______
5
- 0
Step 7: The HCF is the last non-zero divisor, which is 5.
So, the HCF of 75, 120, and 290 is 5.