GCD of 974, 354, 92, 126 Calculator

Given Input numbers are 974, 354, 92, 126

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 974, 354, 92, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 354, 92, 126 is 2.

Therefore, GCD of numbers 974, 354, 92, 126 is 2

Given Input Data is 974, 354, 92, 126

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 126 is 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(974, 354) = 172398

GCD(974, 354) = ( 974 x 354 ) / 172398

GCD(974, 354) = 344796 / 172398

GCD(974, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 974, 354, 92, 126 is 2

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1. What is the GCD of 974, 354, 92, 126?

GCD of 974, 354, 92, 126 is 2

2. Where do I get the detailed procedure to find GCD of 974, 354, 92, 126?

You can find a detailed procedure to find GCD of 974, 354, 92, 126 on our page.

3. How to find GCD of 974, 354, 92, 126 on a calculator?

You can find the GCD of 974, 354, 92, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.