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GCD of 747, 786, 972, 965 Calculator

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


Online GCD Calculator is useful to find the GCD of 747, 786, 972, 965 quickly. Get the easiest ways to solve the greatest common divisor of 747, 786, 972, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 786, 972, 965 with Factoring?

Given Input numbers are 747, 786, 972, 965

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

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 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (747, 786, 972, 965) = 1.

Find GCD of 747, 786, 972, 965 using Prime Factorization

Given numbers are 747, 786, 972, 965

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 786 are 2 x 3 x 131

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

Prime factors of 965 are 5 x 193

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

Steps to Calculate GCD of 747, 786, 972, 965 using LCM Formula

Given numbers are 747, 786, 972, 965

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

Apply this formula for all numbers.

Step1:

LCM(747, 786) = 195714

GCD(747, 786) = ( 747 x 786 ) / 195714

= 747 / 786

= 747


Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3


Step3:

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

= 3 / 965

= 3


So, Greatest Common Divisor of 747, 786, 972, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 786, 972, 965

Given numbers are 747, 786, 972, 965
The greatest common divisor of numbers 747, 786, 972, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 786, 972, 965 is 1.

FAQs on GCD of 747, 786, 972, 965 Calculator

1. What is the GCD of 747, 786, 972, 965?

GCD of given numbers 747, 786, 972, 965 is 1


2. How to calculate the greatest common divisor of 747, 786, 972, 965?

We can find the highest common divisor of 747, 786, 972, 965 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 747, 786, 972, 965 i.e 1.


3. How can I use the GCD of 747, 786, 972, 965Calculator?

Out the numbers 747, 786, 972, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.