GCD of 756, 987, 294 Calculator

Given Input numbers are 756, 987, 294

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

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (756, 987, 294) = 21.

Given numbers are 756, 987, 294

The list of prime factors of all numbers are

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

Prime factors of 987 are 3 x 7 x 47

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 756, 987, 294 is 21.

Given numbers are 756, 987, 294

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

Apply this formula for all numbers.

Step1:

LCM(756, 987) = 35532

GCD(756, 987) = ( 756 x 987 ) / 35532

= 756 / 987

= 756

Step2:

LCM(21, 294) = 294

GCD(21, 294) = ( 21 x 294 ) / 294

= 21 / 294

= 21

So, Greatest Common Divisor of 756, 987, 294 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 695, 785
• GCD of 436, 998, 457
• GCD of 127, 831, 630
• GCD of 365, 167, 976
• GCD of 350, 313, 227

Given numbers are 756, 987, 294
The greatest common divisor of numbers 756, 987, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 987, 294 is 21.

1. What is the GCD of 756, 987, 294?

GCD of given numbers 756, 987, 294 is 21

2. How to calculate the greatest common divisor of 756, 987, 294?

We can find the highest common divisor of 756, 987, 294 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 756, 987, 294 i.e 21.

3. How can I use the GCD of 756, 987, 294Calculator?

Out the numbers 756, 987, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.