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GCD of 616, 462, 896, 659 Calculator

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


Online GCD Calculator is useful to find the GCD of 616, 462, 896, 659 quickly. Get the easiest ways to solve the greatest common divisor of 616, 462, 896, 659 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 462, 896, 659 with Factoring?

Given Input numbers are 616, 462, 896, 659

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659


GCD of numbers is the greatest common divisor

So, the GCD (616, 462, 896, 659) = 1.

Find GCD of 616, 462, 896, 659 using Prime Factorization

Given numbers are 616, 462, 896, 659

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 659 are 659

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

Steps to Calculate GCD of 616, 462, 896, 659 using LCM Formula

Given numbers are 616, 462, 896, 659

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

Apply this formula for all numbers.

Step1:

LCM(616, 462) = 1848

GCD(616, 462) = ( 616 x 462 ) / 1848

= 616 / 462

= 616


Step2:

LCM(154, 896) = 9856

GCD(154, 896) = ( 154 x 896 ) / 9856

= 154 / 896

= 154


Step3:

LCM(14, 659) = 9226

GCD(14, 659) = ( 14 x 659 ) / 9226

= 14 / 659

= 14


So, Greatest Common Divisor of 616, 462, 896, 659 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 462, 896, 659

Given numbers are 616, 462, 896, 659
The greatest common divisor of numbers 616, 462, 896, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 462, 896, 659 is 1.

FAQs on GCD of 616, 462, 896, 659 Calculator

1. What is the GCD of 616, 462, 896, 659?

GCD of given numbers 616, 462, 896, 659 is 1


2. How to calculate the greatest common divisor of 616, 462, 896, 659?

We can find the highest common divisor of 616, 462, 896, 659 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 616, 462, 896, 659 i.e 1.


3. How can I use the GCD of 616, 462, 896, 659Calculator?

Out the numbers 616, 462, 896, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.