GCD of 125, 560, 712, 298 Calculator

Given Input numbers are 125, 560, 712, 298

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 712

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

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 125, 560, 712, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 560, 712, 298 is 1.

Therefore, GCD of numbers 125, 560, 712, 298 is 1

Given Input Data is 125, 560, 712, 298

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 298 is 2 x 149

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(125, 560) = 14000

GCD(125, 560) = ( 125 x 560 ) / 14000

GCD(125, 560) = 70000 / 14000

GCD(125, 560) = 5

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 125, 560, 712, 298 is 1

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1. What is the GCD of 125, 560, 712, 298?

GCD of 125, 560, 712, 298 is 1

2. Where do I get the detailed procedure to find GCD of 125, 560, 712, 298?

You can find a detailed procedure to find GCD of 125, 560, 712, 298 on our page.

3. How to find GCD of 125, 560, 712, 298 on a calculator?

You can find the GCD of 125, 560, 712, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.