GCD of 942, 684, 51, 438 Calculator

Given Input numbers are 942, 684, 51, 438

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (942, 684, 51, 438) = 3.

Given numbers are 942, 684, 51, 438

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 51 are 3 x 17

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 942, 684, 51, 438 is 3.

Given numbers are 942, 684, 51, 438

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

Apply this formula for all numbers.

Step1:

LCM(942, 684) = 107388

GCD(942, 684) = ( 942 x 684 ) / 107388

= 942 / 684

= 942

Step2:

LCM(6, 51) = 102

GCD(6, 51) = ( 6 x 51 ) / 102

= 6 / 51

= 6

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 942, 684, 51, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 407, 78, 903
• GCD of 776, 135, 67, 451
• GCD of 969, 325, 93, 338
• GCD of 688, 598, 38, 882
• GCD of 791, 571, 72, 845

Given numbers are 942, 684, 51, 438
The greatest common divisor of numbers 942, 684, 51, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 684, 51, 438 is 3.

1. What is the GCD of 942, 684, 51, 438?

GCD of given numbers 942, 684, 51, 438 is 3

2. How to calculate the greatest common divisor of 942, 684, 51, 438?

We can find the highest common divisor of 942, 684, 51, 438 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, 684, 51, 438 i.e 3.

3. How can I use the GCD of 942, 684, 51, 438Calculator?

Out the numbers 942, 684, 51, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.