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GCD of 824, 132, 735, 647 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 132, 735, 647 quickly. Get the easiest ways to solve the greatest common divisor of 824, 132, 735, 647 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 132, 735, 647 with Factoring?

Given Input numbers are 824, 132, 735, 647

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647


GCD of numbers is the greatest common divisor

So, the GCD (824, 132, 735, 647) = 1.

Find GCD of 824, 132, 735, 647 using Prime Factorization

Given numbers are 824, 132, 735, 647

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 647 are 647

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

Steps to Calculate GCD of 824, 132, 735, 647 using LCM Formula

Given numbers are 824, 132, 735, 647

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

Apply this formula for all numbers.

Step1:

LCM(824, 132) = 27192

GCD(824, 132) = ( 824 x 132 ) / 27192

= 824 / 132

= 824


Step2:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4


Step3:

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

= 1 / 647

= 1


So, Greatest Common Divisor of 824, 132, 735, 647 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 132, 735, 647

Given numbers are 824, 132, 735, 647
The greatest common divisor of numbers 824, 132, 735, 647 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 132, 735, 647 is 1.

FAQs on GCD of 824, 132, 735, 647 Calculator

1. What is the GCD of 824, 132, 735, 647?

GCD of given numbers 824, 132, 735, 647 is 1


2. How to calculate the greatest common divisor of 824, 132, 735, 647?

We can find the highest common divisor of 824, 132, 735, 647 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 824, 132, 735, 647 i.e 1.


3. How can I use the GCD of 824, 132, 735, 647Calculator?

Out the numbers 824, 132, 735, 647 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.