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GCD of 134, 972, 777, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 972, 777, 687 quickly. Get the easiest ways to solve the greatest common divisor of 134, 972, 777, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 972, 777, 687 with Factoring?

Given Input numbers are 134, 972, 777, 687

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (134, 972, 777, 687) = 1.

Find GCD of 134, 972, 777, 687 using Prime Factorization

Given numbers are 134, 972, 777, 687

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 777 are 3 x 7 x 37

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 134, 972, 777, 687 using LCM Formula

Given numbers are 134, 972, 777, 687

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

Apply this formula for all numbers.

Step1:

LCM(134, 972) = 65124

GCD(134, 972) = ( 134 x 972 ) / 65124

= 134 / 972

= 134


Step2:

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

= 2 / 777

= 2


Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


So, Greatest Common Divisor of 134, 972, 777, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 972, 777, 687

Given numbers are 134, 972, 777, 687
The greatest common divisor of numbers 134, 972, 777, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 972, 777, 687 is 1.

FAQs on GCD of 134, 972, 777, 687 Calculator

1. What is the GCD of 134, 972, 777, 687?

GCD of given numbers 134, 972, 777, 687 is 1


2. How to calculate the greatest common divisor of 134, 972, 777, 687?

We can find the highest common divisor of 134, 972, 777, 687 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 134, 972, 777, 687 i.e 1.


3. How can I use the GCD of 134, 972, 777, 687Calculator?

Out the numbers 134, 972, 777, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.