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GCD of 972, 513, 67, 815 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 513, 67, 815 quickly. Get the easiest ways to solve the greatest common divisor of 972, 513, 67, 815 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 513, 67, 815 with Factoring?

Given Input numbers are 972, 513, 67, 815

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

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815


GCD of numbers is the greatest common divisor

So, the GCD (972, 513, 67, 815) = 1.

Find GCD of 972, 513, 67, 815 using Prime Factorization

Given numbers are 972, 513, 67, 815

The list of prime factors of all numbers are

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

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 67 are 67

Prime factors of 815 are 5 x 163

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

Steps to Calculate GCD of 972, 513, 67, 815 using LCM Formula

Given numbers are 972, 513, 67, 815

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

Apply this formula for all numbers.

Step1:

LCM(972, 513) = 18468

GCD(972, 513) = ( 972 x 513 ) / 18468

= 972 / 513

= 972


Step2:

LCM(27, 67) = 1809

GCD(27, 67) = ( 27 x 67 ) / 1809

= 27 / 67

= 27


Step3:

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

= 1 / 815

= 1


So, Greatest Common Divisor of 972, 513, 67, 815 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 513, 67, 815

Given numbers are 972, 513, 67, 815
The greatest common divisor of numbers 972, 513, 67, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 513, 67, 815 is 1.

FAQs on GCD of 972, 513, 67, 815 Calculator

1. What is the GCD of 972, 513, 67, 815?

GCD of given numbers 972, 513, 67, 815 is 1


2. How to calculate the greatest common divisor of 972, 513, 67, 815?

We can find the highest common divisor of 972, 513, 67, 815 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 972, 513, 67, 815 i.e 1.


3. How can I use the GCD of 972, 513, 67, 815Calculator?

Out the numbers 972, 513, 67, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.