GCD of 942, 582, 312, 612 Calculator

Given Input numbers are 942, 582, 312, 612

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (942, 582, 312, 612) = 6.

Given numbers are 942, 582, 312, 612

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 582 are 2 x 3 x 97

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 942, 582, 312, 612 is 6.

Given numbers are 942, 582, 312, 612

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

Apply this formula for all numbers.

Step1:

LCM(942, 582) = 91374

GCD(942, 582) = ( 942 x 582 ) / 91374

= 942 / 582

= 942

Step2:

LCM(6, 312) = 312

GCD(6, 312) = ( 6 x 312 ) / 312

= 6 / 312

= 6

Step3:

LCM(6, 612) = 612

GCD(6, 612) = ( 6 x 612 ) / 612

= 6 / 612

= 6

So, Greatest Common Divisor of 942, 582, 312, 612 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 207, 590, 443
• GCD of 382, 154, 650, 839
• GCD of 263, 582, 125, 726
• GCD of 443, 183, 966, 774
• GCD of 184, 137, 580, 719

Given numbers are 942, 582, 312, 612
The greatest common divisor of numbers 942, 582, 312, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 582, 312, 612 is 6.

1. What is the GCD of 942, 582, 312, 612?

GCD of given numbers 942, 582, 312, 612 is 6

2. How to calculate the greatest common divisor of 942, 582, 312, 612?

We can find the highest common divisor of 942, 582, 312, 612 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, 582, 312, 612 i.e 6.

3. How can I use the GCD of 942, 582, 312, 612Calculator?

Out the numbers 942, 582, 312, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.