GCD of 74, 427, 750, 979 Calculator

Given Input numbers are 74, 427, 750, 979

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 74, 427, 750, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 427, 750, 979 is 1.

Therefore, GCD of numbers 74, 427, 750, 979 is 1

Given Input Data is 74, 427, 750, 979

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 427 is 7 x 61

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

Prime Factorization of 979 is 11 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(74, 427) = 31598

GCD(74, 427) = ( 74 x 427 ) / 31598

GCD(74, 427) = 31598 / 31598

GCD(74, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 74, 427, 750, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 950, 789, 505
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• GCD of 68, 123, 740, 647
• GCD of 73, 260, 317, 983
• GCD of 56, 856, 193, 128

1. What is the GCD of 74, 427, 750, 979?

GCD of 74, 427, 750, 979 is 1

2. Where do I get the detailed procedure to find GCD of 74, 427, 750, 979?

You can find a detailed procedure to find GCD of 74, 427, 750, 979 on our page.

3. How to find GCD of 74, 427, 750, 979 on a calculator?

You can find the GCD of 74, 427, 750, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.