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GCD of 690, 339, 862, 916 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 339, 862, 916 quickly. Get the easiest ways to solve the greatest common divisor of 690, 339, 862, 916 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 339, 862, 916 with Factoring?

Given Input numbers are 690, 339, 862, 916

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (690, 339, 862, 916) = 1.

Find GCD of 690, 339, 862, 916 using Prime Factorization

Given numbers are 690, 339, 862, 916

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 339 are 3 x 113

Prime factors of 862 are 2 x 431

Prime factors of 916 are 2 x 2 x 229

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

Steps to Calculate GCD of 690, 339, 862, 916 using LCM Formula

Given numbers are 690, 339, 862, 916

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

Apply this formula for all numbers.

Step1:

LCM(690, 339) = 77970

GCD(690, 339) = ( 690 x 339 ) / 77970

= 690 / 339

= 690


Step2:

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

= 3 / 862

= 3


Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


So, Greatest Common Divisor of 690, 339, 862, 916 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 339, 862, 916

Given numbers are 690, 339, 862, 916
The greatest common divisor of numbers 690, 339, 862, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 339, 862, 916 is 1.

FAQs on GCD of 690, 339, 862, 916 Calculator

1. What is the GCD of 690, 339, 862, 916?

GCD of given numbers 690, 339, 862, 916 is 1


2. How to calculate the greatest common divisor of 690, 339, 862, 916?

We can find the highest common divisor of 690, 339, 862, 916 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 690, 339, 862, 916 i.e 1.


3. How can I use the GCD of 690, 339, 862, 916Calculator?

Out the numbers 690, 339, 862, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.