GCD of 756, 168, 147 Calculator

Given Input numbers are 756, 168, 147

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (756, 168, 147) = 21.

Given numbers are 756, 168, 147

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 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 756, 168, 147 is 21.

Given numbers are 756, 168, 147

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

Apply this formula for all numbers.

Step1:

LCM(756, 168) = 1512

GCD(756, 168) = ( 756 x 168 ) / 1512

= 756 / 168

= 756

Step2:

LCM(84, 147) = 588

GCD(84, 147) = ( 84 x 147 ) / 588

= 84 / 147

= 84

So, Greatest Common Divisor of 756, 168, 147 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 602, 312
• GCD of 296, 119, 401
• GCD of 589, 186, 383
• GCD of 335, 474, 471
• GCD of 935, 932, 167

Given numbers are 756, 168, 147
The greatest common divisor of numbers 756, 168, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 168, 147 is 21.

1. What is the GCD of 756, 168, 147?

GCD of given numbers 756, 168, 147 is 21

2. How to calculate the greatest common divisor of 756, 168, 147?

We can find the highest common divisor of 756, 168, 147 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, 168, 147 i.e 21.

3. How can I use the GCD of 756, 168, 147Calculator?

Out the numbers 756, 168, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.