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GCD of 680, 976, 717, 699 Calculator

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


Online GCD Calculator is useful to find the GCD of 680, 976, 717, 699 quickly. Get the easiest ways to solve the greatest common divisor of 680, 976, 717, 699 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 976, 717, 699 with Factoring?

Given Input numbers are 680, 976, 717, 699

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699


GCD of numbers is the greatest common divisor

So, the GCD (680, 976, 717, 699) = 1.

Find GCD of 680, 976, 717, 699 using Prime Factorization

Given numbers are 680, 976, 717, 699

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 717 are 3 x 239

Prime factors of 699 are 3 x 233

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

Steps to Calculate GCD of 680, 976, 717, 699 using LCM Formula

Given numbers are 680, 976, 717, 699

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

Apply this formula for all numbers.

Step1:

LCM(680, 976) = 82960

GCD(680, 976) = ( 680 x 976 ) / 82960

= 680 / 976

= 680


Step2:

LCM(8, 717) = 5736

GCD(8, 717) = ( 8 x 717 ) / 5736

= 8 / 717

= 8


Step3:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


So, Greatest Common Divisor of 680, 976, 717, 699 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 976, 717, 699

Given numbers are 680, 976, 717, 699
The greatest common divisor of numbers 680, 976, 717, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 976, 717, 699 is 1.

FAQs on GCD of 680, 976, 717, 699 Calculator

1. What is the GCD of 680, 976, 717, 699?

GCD of given numbers 680, 976, 717, 699 is 1


2. How to calculate the greatest common divisor of 680, 976, 717, 699?

We can find the highest common divisor of 680, 976, 717, 699 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 680, 976, 717, 699 i.e 1.


3. How can I use the GCD of 680, 976, 717, 699Calculator?

Out the numbers 680, 976, 717, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.