GCD of 954, 120, 942, 656 Calculator

Given Input numbers are 954, 120, 942, 656

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

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 954, 120, 942, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 120, 942, 656 is 2.

Therefore, GCD of numbers 954, 120, 942, 656 is 2

Given Input Data is 954, 120, 942, 656

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

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(954, 120) = 19080

GCD(954, 120) = ( 954 x 120 ) / 19080

GCD(954, 120) = 114480 / 19080

GCD(954, 120) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 942

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

LCM(6, 942) = 942

GCD(6, 942) = ( 6 x 942 ) / 942

GCD(6, 942) = 5652 / 942

GCD(6, 942) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 656

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

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

GCD(6, 656) = 3936 / 1968

GCD(6, 656) = 2

GCD of 954, 120, 942, 656 is 2

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1. What is the GCD of 954, 120, 942, 656?

GCD of 954, 120, 942, 656 is 2

2. Where do I get the detailed procedure to find GCD of 954, 120, 942, 656?

You can find a detailed procedure to find GCD of 954, 120, 942, 656 on our page.

3. How to find GCD of 954, 120, 942, 656 on a calculator?

You can find the GCD of 954, 120, 942, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.