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GCD of 960, 800, 987, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 800, 987, 680 quickly. Get the easiest ways to solve the greatest common divisor of 960, 800, 987, 680 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 800, 987, 680 with Factoring?

Given Input numbers are 960, 800, 987, 680

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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


GCD of numbers is the greatest common divisor

So, the GCD (960, 800, 987, 680) = 1.

Find GCD of 960, 800, 987, 680 using Prime Factorization

Given numbers are 960, 800, 987, 680

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 987 are 3 x 7 x 47

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

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

Steps to Calculate GCD of 960, 800, 987, 680 using LCM Formula

Given numbers are 960, 800, 987, 680

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

Apply this formula for all numbers.

Step1:

LCM(960, 800) = 4800

GCD(960, 800) = ( 960 x 800 ) / 4800

= 960 / 800

= 960


Step2:

LCM(160, 987) = 157920

GCD(160, 987) = ( 160 x 987 ) / 157920

= 160 / 987

= 160


Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1


So, Greatest Common Divisor of 960, 800, 987, 680 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 800, 987, 680

Given numbers are 960, 800, 987, 680
The greatest common divisor of numbers 960, 800, 987, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 800, 987, 680 is 1.

FAQs on GCD of 960, 800, 987, 680 Calculator

1. What is the GCD of 960, 800, 987, 680?

GCD of given numbers 960, 800, 987, 680 is 1


2. How to calculate the greatest common divisor of 960, 800, 987, 680?

We can find the highest common divisor of 960, 800, 987, 680 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 960, 800, 987, 680 i.e 1.


3. How can I use the GCD of 960, 800, 987, 680Calculator?

Out the numbers 960, 800, 987, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.