The HCF of two number is 145 and their LCM is 2175. If one number is 725, find the other number.
According to the formula
HCF× LCM=1st no. ×2nd no.
Let the no. Be n
So, 145×2175=725× n
=> 315375=725×n
As the no. Changes its side , it also changes its sign,minus to plus, plus tu minus,× to ÷ , ÷ to ×
So,315375÷725=n
=> 435=n or the second no.
435
HCF means highest (or greatest) common factor.
Numbers that have a multiple of 2175 are 725, 1450, and 2175, and these factors of 725: 5, 25, 29, 145, 435 and 725. The "other number" must be 145 or a multiple of 145.
If it were 435, 435/145 = 3
If it were 725, 725/145 = 5
Both have 145 as a factor.
If the "other number" must be different from 725, it must be 435. It cannot be 145 because 435 is a greater factor.
315375 divide by 725
Answer 435
To find the other number, we can use the relationship between the HCF (highest common factor) and LCM (least common multiple) of two numbers.
Let's denote the other number as 'x'. We are given that the HCF of the two numbers is 145, which means 145 is the largest number that divides both 'x' and 725.
We are also given that the LCM of the two numbers is 2175, which means 2175 is the smallest number that is divisible by both 'x' and 725.
To find 'x', we can use the relationship between HCF and LCM:
HCF * LCM = Product of the two numbers
Substituting the given values:
145 * 2175 = 725 * x
Simplifying the equation:
315375 = 725 * x
Dividing both sides of the equation by 725:
x = 315375 / 725
Calculating the value of x:
x ≈ 434.31
Therefore, the other number is approximately 434.31.