GCD of 725, 265, 750, 712 Calculator

Given Input numbers are 725, 265, 750, 712

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 725, 265, 750, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 265, 750, 712 is 1.

Therefore, GCD of numbers 725, 265, 750, 712 is 1

Given Input Data is 725, 265, 750, 712

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 265 is 5 x 53

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 712 is 2 x 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(725, 265) = 38425

GCD(725, 265) = ( 725 x 265 ) / 38425

GCD(725, 265) = 192125 / 38425

GCD(725, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 750

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 750) = 750

GCD(5, 750) = ( 5 x 750 ) / 750

GCD(5, 750) = 3750 / 750

GCD(5, 750) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 712) = 3560

GCD(5, 712) = ( 5 x 712 ) / 3560

GCD(5, 712) = 3560 / 3560

GCD(5, 712) = 1

GCD of 725, 265, 750, 712 is 1

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1. What is the GCD of 725, 265, 750, 712?

GCD of 725, 265, 750, 712 is 1

2. Where do I get the detailed procedure to find GCD of 725, 265, 750, 712?

You can find a detailed procedure to find GCD of 725, 265, 750, 712 on our page.

3. How to find GCD of 725, 265, 750, 712 on a calculator?

You can find the GCD of 725, 265, 750, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.