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GCD of 828, 697, 972, 237 Calculator

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


Online GCD Calculator is useful to find the GCD of 828, 697, 972, 237 quickly. Get the easiest ways to solve the greatest common divisor of 828, 697, 972, 237 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 697, 972, 237 with Factoring?

Given Input numbers are 828, 697, 972, 237

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

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 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237


GCD of numbers is the greatest common divisor

So, the GCD (828, 697, 972, 237) = 1.

Find GCD of 828, 697, 972, 237 using Prime Factorization

Given numbers are 828, 697, 972, 237

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 697 are 17 x 41

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

Prime factors of 237 are 3 x 79

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

Steps to Calculate GCD of 828, 697, 972, 237 using LCM Formula

Given numbers are 828, 697, 972, 237

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

Apply this formula for all numbers.

Step1:

LCM(828, 697) = 577116

GCD(828, 697) = ( 828 x 697 ) / 577116

= 828 / 697

= 828


Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


Step3:

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

= 1 / 237

= 1


So, Greatest Common Divisor of 828, 697, 972, 237 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 697, 972, 237

Given numbers are 828, 697, 972, 237
The greatest common divisor of numbers 828, 697, 972, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 697, 972, 237 is 1.

FAQs on GCD of 828, 697, 972, 237 Calculator

1. What is the GCD of 828, 697, 972, 237?

GCD of given numbers 828, 697, 972, 237 is 1


2. How to calculate the greatest common divisor of 828, 697, 972, 237?

We can find the highest common divisor of 828, 697, 972, 237 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 828, 697, 972, 237 i.e 1.


3. How can I use the GCD of 828, 697, 972, 237Calculator?

Out the numbers 828, 697, 972, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.