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GCD of 889, 490, 616 Calculator

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


Online GCD Calculator is useful to find the GCD of 889, 490, 616 quickly. Get the easiest ways to solve the greatest common divisor of 889, 490, 616 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 889, 490, 616 with Factoring?

Given Input numbers are 889, 490, 616

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

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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


GCD of numbers is the greatest common divisor

So, the GCD (889, 490, 616) = 7.

Find GCD of 889, 490, 616 using Prime Factorization

Given numbers are 889, 490, 616

The list of prime factors of all numbers are

Prime factors of 889 are 7 x 127

Prime factors of 490 are 2 x 5 x 7 x 7

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

The highest common occurrence is 71

Therefore, GCD of 889, 490, 616 is 7.

Steps to Calculate GCD of 889, 490, 616 using LCM Formula

Given numbers are 889, 490, 616

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

Apply this formula for all numbers.

Step1:

LCM(889, 490) = 62230

GCD(889, 490) = ( 889 x 490 ) / 62230

= 889 / 490

= 889


Step2:

LCM(7, 616) = 616

GCD(7, 616) = ( 7 x 616 ) / 616

= 7 / 616

= 7


So, Greatest Common Divisor of 889, 490, 616 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 889, 490, 616

Given numbers are 889, 490, 616
The greatest common divisor of numbers 889, 490, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 889, 490, 616 is 7.

FAQs on GCD of 889, 490, 616 Calculator

1. What is the GCD of 889, 490, 616?

GCD of given numbers 889, 490, 616 is 7


2. How to calculate the greatest common divisor of 889, 490, 616?

We can find the highest common divisor of 889, 490, 616 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 889, 490, 616 i.e 7.


3. How can I use the GCD of 889, 490, 616Calculator?

Out the numbers 889, 490, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.