GCD of 938, 954, 76, 567 Calculator

Given Input numbers are 938, 954, 76, 567

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

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 938, 954, 76, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 954, 76, 567 is 1.

Therefore, GCD of numbers 938, 954, 76, 567 is 1

Given Input Data is 938, 954, 76, 567

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 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(938, 954) = 447426

GCD(938, 954) = ( 938 x 954 ) / 447426

GCD(938, 954) = 894852 / 447426

GCD(938, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 938, 954, 76, 567 is 1

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1. What is the GCD of 938, 954, 76, 567?

GCD of 938, 954, 76, 567 is 1

2. Where do I get the detailed procedure to find GCD of 938, 954, 76, 567?

You can find a detailed procedure to find GCD of 938, 954, 76, 567 on our page.

3. How to find GCD of 938, 954, 76, 567 on a calculator?

You can find the GCD of 938, 954, 76, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.