GCD of 825, 526, 938, 980 Calculator

Given Input numbers are 825, 526, 938, 980

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

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

Greatest Common Divisior

We found the divisors of 825, 526, 938, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 526, 938, 980 is 1.

Therefore, GCD of numbers 825, 526, 938, 980 is 1

Given Input Data is 825, 526, 938, 980

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 526 is 2 x 263

Prime Factorization of 938 is 2 x 7 x 67

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

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(825, 526) = 433950

GCD(825, 526) = ( 825 x 526 ) / 433950

GCD(825, 526) = 433950 / 433950

GCD(825, 526) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 825, 526, 938, 980 is 1

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1. What is the GCD of 825, 526, 938, 980?

GCD of 825, 526, 938, 980 is 1

2. Where do I get the detailed procedure to find GCD of 825, 526, 938, 980?

You can find a detailed procedure to find GCD of 825, 526, 938, 980 on our page.

3. How to find GCD of 825, 526, 938, 980 on a calculator?

You can find the GCD of 825, 526, 938, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.