GCD of 142, 956, 974 Calculator

Given Input numbers are 142, 956, 974

In the factoring method, we have to find the divisors of all numbers

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (142, 956, 974) = 2.

Given numbers are 142, 956, 974

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 956 are 2 x 2 x 239

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 142, 956, 974 is 2.

Given numbers are 142, 956, 974

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(142, 956) = 67876

GCD(142, 956) = ( 142 x 956 ) / 67876

= 142 / 956

= 142

Step2:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 142, 956, 974 is 2

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Given numbers are 142, 956, 974
The greatest common divisor of numbers 142, 956, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 956, 974 is 2.

1. What is the GCD of 142, 956, 974?

GCD of given numbers 142, 956, 974 is 2

2. How to calculate the greatest common divisor of 142, 956, 974?

We can find the highest common divisor of 142, 956, 974 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 142, 956, 974 i.e 2.

3. How can I use the GCD of 142, 956, 974Calculator?

Out the numbers 142, 956, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.