GCD of 925, 980, 597, 946 Calculator

Given Input numbers are 925, 980, 597, 946

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 925, 980, 597, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 980, 597, 946 is 1.

Therefore, GCD of numbers 925, 980, 597, 946 is 1

Given Input Data is 925, 980, 597, 946

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 597 is 3 x 199

Prime Factorization of 946 is 2 x 11 x 43

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(925, 980) = 181300

GCD(925, 980) = ( 925 x 980 ) / 181300

GCD(925, 980) = 906500 / 181300

GCD(925, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 597

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

LCM(5, 597) = 2985

GCD(5, 597) = ( 5 x 597 ) / 2985

GCD(5, 597) = 2985 / 2985

GCD(5, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 925, 980, 597, 946 is 1

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1. What is the GCD of 925, 980, 597, 946?

GCD of 925, 980, 597, 946 is 1

2. Where do I get the detailed procedure to find GCD of 925, 980, 597, 946?

You can find a detailed procedure to find GCD of 925, 980, 597, 946 on our page.

3. How to find GCD of 925, 980, 597, 946 on a calculator?

You can find the GCD of 925, 980, 597, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.