GCD of 942, 108, 712, 822 Calculator

Given Input numbers are 942, 108, 712, 822

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (942, 108, 712, 822) = 2.

Given numbers are 942, 108, 712, 822

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 942, 108, 712, 822 is 2.

Given numbers are 942, 108, 712, 822

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

Apply this formula for all numbers.

Step1:

LCM(942, 108) = 16956

GCD(942, 108) = ( 942 x 108 ) / 16956

= 942 / 108

= 942

Step2:

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

= 6 / 712

= 6

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 942, 108, 712, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 997, 273, 820
• GCD of 147, 397, 121, 399
• GCD of 901, 913, 974, 409
• GCD of 292, 618, 662, 203
• GCD of 718, 151, 235, 643

Given numbers are 942, 108, 712, 822
The greatest common divisor of numbers 942, 108, 712, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 108, 712, 822 is 2.

1. What is the GCD of 942, 108, 712, 822?

GCD of given numbers 942, 108, 712, 822 is 2

2. How to calculate the greatest common divisor of 942, 108, 712, 822?

We can find the highest common divisor of 942, 108, 712, 822 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, 108, 712, 822 i.e 2.

3. How can I use the GCD of 942, 108, 712, 822Calculator?

Out the numbers 942, 108, 712, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.