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GCD of 756, 146, 153, 684 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 756, 146, 153, 684 quickly. Get the easiest ways to solve the greatest common divisor of 756, 146, 153, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 756, 146, 153, 684 with Factoring?

Given Input numbers are 756, 146, 153, 684

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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


GCD of numbers is the greatest common divisor

So, the GCD (756, 146, 153, 684) = 1.

Find GCD of 756, 146, 153, 684 using Prime Factorization

Given numbers are 756, 146, 153, 684

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 146 are 2 x 73

Prime factors of 153 are 3 x 3 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 756, 146, 153, 684 using LCM Formula

Given numbers are 756, 146, 153, 684

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

Apply this formula for all numbers.

Step1:

LCM(756, 146) = 55188

GCD(756, 146) = ( 756 x 146 ) / 55188

= 756 / 146

= 756


Step2:

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

= 2 / 153

= 2


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 756, 146, 153, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 756, 146, 153, 684

Given numbers are 756, 146, 153, 684
The greatest common divisor of numbers 756, 146, 153, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 146, 153, 684 is 1.

FAQs on GCD of 756, 146, 153, 684 Calculator

1. What is the GCD of 756, 146, 153, 684?

GCD of given numbers 756, 146, 153, 684 is 1


2. How to calculate the greatest common divisor of 756, 146, 153, 684?

We can find the highest common divisor of 756, 146, 153, 684 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, 146, 153, 684 i.e 1.


3. How can I use the GCD of 756, 146, 153, 684Calculator?

Out the numbers 756, 146, 153, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.