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GCD of 427, 924, 658, 649 Calculator

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


Online GCD Calculator is useful to find the GCD of 427, 924, 658, 649 quickly. Get the easiest ways to solve the greatest common divisor of 427, 924, 658, 649 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 427, 924, 658, 649 with Factoring?

Given Input numbers are 427, 924, 658, 649

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649


GCD of numbers is the greatest common divisor

So, the GCD (427, 924, 658, 649) = 1.

Find GCD of 427, 924, 658, 649 using Prime Factorization

Given numbers are 427, 924, 658, 649

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 658 are 2 x 7 x 47

Prime factors of 649 are 11 x 59

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

Steps to Calculate GCD of 427, 924, 658, 649 using LCM Formula

Given numbers are 427, 924, 658, 649

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

Apply this formula for all numbers.

Step1:

LCM(427, 924) = 56364

GCD(427, 924) = ( 427 x 924 ) / 56364

= 427 / 924

= 427


Step2:

LCM(7, 658) = 658

GCD(7, 658) = ( 7 x 658 ) / 658

= 7 / 658

= 7


Step3:

LCM(7, 649) = 4543

GCD(7, 649) = ( 7 x 649 ) / 4543

= 7 / 649

= 7


So, Greatest Common Divisor of 427, 924, 658, 649 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 427, 924, 658, 649

Given numbers are 427, 924, 658, 649
The greatest common divisor of numbers 427, 924, 658, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 924, 658, 649 is 1.

FAQs on GCD of 427, 924, 658, 649 Calculator

1. What is the GCD of 427, 924, 658, 649?

GCD of given numbers 427, 924, 658, 649 is 1


2. How to calculate the greatest common divisor of 427, 924, 658, 649?

We can find the highest common divisor of 427, 924, 658, 649 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 427, 924, 658, 649 i.e 1.


3. How can I use the GCD of 427, 924, 658, 649Calculator?

Out the numbers 427, 924, 658, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.