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GCD of 996, 782, 135, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 782, 135, 677 quickly. Get the easiest ways to solve the greatest common divisor of 996, 782, 135, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 782, 135, 677 with Factoring?

Given Input numbers are 996, 782, 135, 677

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

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 135 :

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

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (996, 782, 135, 677) = 1.

Find GCD of 996, 782, 135, 677 using Prime Factorization

Given numbers are 996, 782, 135, 677

The list of prime factors of all numbers are

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

Prime factors of 782 are 2 x 17 x 23

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

Prime factors of 677 are 677

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

Steps to Calculate GCD of 996, 782, 135, 677 using LCM Formula

Given numbers are 996, 782, 135, 677

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

Apply this formula for all numbers.

Step1:

LCM(996, 782) = 389436

GCD(996, 782) = ( 996 x 782 ) / 389436

= 996 / 782

= 996


Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 996, 782, 135, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 782, 135, 677

Given numbers are 996, 782, 135, 677
The greatest common divisor of numbers 996, 782, 135, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 782, 135, 677 is 1.

FAQs on GCD of 996, 782, 135, 677 Calculator

1. What is the GCD of 996, 782, 135, 677?

GCD of given numbers 996, 782, 135, 677 is 1


2. How to calculate the greatest common divisor of 996, 782, 135, 677?

We can find the highest common divisor of 996, 782, 135, 677 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 996, 782, 135, 677 i.e 1.


3. How can I use the GCD of 996, 782, 135, 677Calculator?

Out the numbers 996, 782, 135, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.