GCD of 942, 756, 759 Calculator

Given Input numbers are 942, 756, 759

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (942, 756, 759) = 3.

Given numbers are 942, 756, 759

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 942, 756, 759 is 3.

Given numbers are 942, 756, 759

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

Apply this formula for all numbers.

Step1:

LCM(942, 756) = 118692

GCD(942, 756) = ( 942 x 756 ) / 118692

= 942 / 756

= 942

Step2:

LCM(6, 759) = 1518

GCD(6, 759) = ( 6 x 759 ) / 1518

= 6 / 759

= 6

So, Greatest Common Divisor of 942, 756, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 806, 318
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Given numbers are 942, 756, 759
The greatest common divisor of numbers 942, 756, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 756, 759 is 3.

1. What is the GCD of 942, 756, 759?

GCD of given numbers 942, 756, 759 is 3

2. How to calculate the greatest common divisor of 942, 756, 759?

We can find the highest common divisor of 942, 756, 759 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, 756, 759 i.e 3.

3. How can I use the GCD of 942, 756, 759Calculator?

Out the numbers 942, 756, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.