GCD of 942, 314, 668, 422 Calculator

Given Input numbers are 942, 314, 668, 422

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (942, 314, 668, 422) = 2.

Given numbers are 942, 314, 668, 422

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 314 are 2 x 157

Prime factors of 668 are 2 x 2 x 167

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 942, 314, 668, 422 is 2.

Given numbers are 942, 314, 668, 422

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

Apply this formula for all numbers.

Step1:

LCM(942, 314) = 942

GCD(942, 314) = ( 942 x 314 ) / 942

= 942 / 314

= 942

Step2:

LCM(314, 668) = 104876

GCD(314, 668) = ( 314 x 668 ) / 104876

= 314 / 668

= 314

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 942, 314, 668, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 180, 207, 334
• GCD of 812, 332, 554, 922
• GCD of 638, 754, 724, 163
• GCD of 329, 554, 525, 420
• GCD of 139, 126, 853, 877

Given numbers are 942, 314, 668, 422
The greatest common divisor of numbers 942, 314, 668, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 314, 668, 422 is 2.

1. What is the GCD of 942, 314, 668, 422?

GCD of given numbers 942, 314, 668, 422 is 2

2. How to calculate the greatest common divisor of 942, 314, 668, 422?

We can find the highest common divisor of 942, 314, 668, 422 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 942, 314, 668, 422 i.e 2.

3. How can I use the GCD of 942, 314, 668, 422Calculator?

Out the numbers 942, 314, 668, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.