GCD of 945, 678, 756, 996 Calculator

Given Input numbers are 945, 678, 756, 996

In the factoring method, we have to find the divisors of all numbers

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (945, 678, 756, 996) = 3.

Given numbers are 945, 678, 756, 996

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 945, 678, 756, 996 is 3.

Given numbers are 945, 678, 756, 996

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

Apply this formula for all numbers.

Step1:

LCM(945, 678) = 213570

GCD(945, 678) = ( 945 x 678 ) / 213570

= 945 / 678

= 945

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 945, 678, 756, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 645, 266, 245
• GCD of 572, 234, 766, 382
• GCD of 709, 796, 467, 261
• GCD of 722, 414, 408, 617
• GCD of 600, 530, 453, 141

Given numbers are 945, 678, 756, 996
The greatest common divisor of numbers 945, 678, 756, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 678, 756, 996 is 3.

1. What is the GCD of 945, 678, 756, 996?

GCD of given numbers 945, 678, 756, 996 is 3

2. How to calculate the greatest common divisor of 945, 678, 756, 996?

We can find the highest common divisor of 945, 678, 756, 996 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 945, 678, 756, 996 i.e 3.

3. How can I use the GCD of 945, 678, 756, 996Calculator?

Out the numbers 945, 678, 756, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.