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GCD of 784, 392, 156, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 784, 392, 156, 135 quickly. Get the easiest ways to solve the greatest common divisor of 784, 392, 156, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 784, 392, 156, 135 with Factoring?

Given Input numbers are 784, 392, 156, 135

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (784, 392, 156, 135) = 1.

Find GCD of 784, 392, 156, 135 using Prime Factorization

Given numbers are 784, 392, 156, 135

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 784, 392, 156, 135 using LCM Formula

Given numbers are 784, 392, 156, 135

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

Apply this formula for all numbers.

Step1:

LCM(784, 392) = 784

GCD(784, 392) = ( 784 x 392 ) / 784

= 784 / 392

= 784


Step2:

LCM(392, 156) = 15288

GCD(392, 156) = ( 392 x 156 ) / 15288

= 392 / 156

= 392


Step3:

LCM(4, 135) = 540

GCD(4, 135) = ( 4 x 135 ) / 540

= 4 / 135

= 4


So, Greatest Common Divisor of 784, 392, 156, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 784, 392, 156, 135

Given numbers are 784, 392, 156, 135
The greatest common divisor of numbers 784, 392, 156, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 392, 156, 135 is 1.

FAQs on GCD of 784, 392, 156, 135 Calculator

1. What is the GCD of 784, 392, 156, 135?

GCD of given numbers 784, 392, 156, 135 is 1


2. How to calculate the greatest common divisor of 784, 392, 156, 135?

We can find the highest common divisor of 784, 392, 156, 135 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 784, 392, 156, 135 i.e 1.


3. How can I use the GCD of 784, 392, 156, 135Calculator?

Out the numbers 784, 392, 156, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.