GCD of 942, 981, 312, 576 Calculator

Given Input numbers are 942, 981, 312, 576

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (942, 981, 312, 576) = 3.

Given numbers are 942, 981, 312, 576

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 981 are 3 x 3 x 109

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 942, 981, 312, 576 is 3.

Given numbers are 942, 981, 312, 576

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

Apply this formula for all numbers.

Step1:

LCM(942, 981) = 308034

GCD(942, 981) = ( 942 x 981 ) / 308034

= 942 / 981

= 942

Step2:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

Step3:

LCM(3, 576) = 576

GCD(3, 576) = ( 3 x 576 ) / 576

= 3 / 576

= 3

So, Greatest Common Divisor of 942, 981, 312, 576 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 870, 483, 735
• GCD of 548, 332, 862, 769
• GCD of 971, 373, 996, 414
• GCD of 436, 236, 334, 782
• GCD of 449, 190, 911, 141

Given numbers are 942, 981, 312, 576
The greatest common divisor of numbers 942, 981, 312, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 981, 312, 576 is 3.

1. What is the GCD of 942, 981, 312, 576?

GCD of given numbers 942, 981, 312, 576 is 3

2. How to calculate the greatest common divisor of 942, 981, 312, 576?

We can find the highest common divisor of 942, 981, 312, 576 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, 981, 312, 576 i.e 3.

3. How can I use the GCD of 942, 981, 312, 576Calculator?

Out the numbers 942, 981, 312, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.