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GCD of 365, 680, 987, 710 Calculator

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


Online GCD Calculator is useful to find the GCD of 365, 680, 987, 710 quickly. Get the easiest ways to solve the greatest common divisor of 365, 680, 987, 710 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 365, 680, 987, 710 with Factoring?

Given Input numbers are 365, 680, 987, 710

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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 987 :

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

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (365, 680, 987, 710) = 1.

Find GCD of 365, 680, 987, 710 using Prime Factorization

Given numbers are 365, 680, 987, 710

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

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

Prime factors of 987 are 3 x 7 x 47

Prime factors of 710 are 2 x 5 x 71

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

Steps to Calculate GCD of 365, 680, 987, 710 using LCM Formula

Given numbers are 365, 680, 987, 710

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

Apply this formula for all numbers.

Step1:

LCM(365, 680) = 49640

GCD(365, 680) = ( 365 x 680 ) / 49640

= 365 / 680

= 365


Step2:

LCM(5, 987) = 4935

GCD(5, 987) = ( 5 x 987 ) / 4935

= 5 / 987

= 5


Step3:

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

= 1 / 710

= 1


So, Greatest Common Divisor of 365, 680, 987, 710 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 365, 680, 987, 710

Given numbers are 365, 680, 987, 710
The greatest common divisor of numbers 365, 680, 987, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 680, 987, 710 is 1.

FAQs on GCD of 365, 680, 987, 710 Calculator

1. What is the GCD of 365, 680, 987, 710?

GCD of given numbers 365, 680, 987, 710 is 1


2. How to calculate the greatest common divisor of 365, 680, 987, 710?

We can find the highest common divisor of 365, 680, 987, 710 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 365, 680, 987, 710 i.e 1.


3. How can I use the GCD of 365, 680, 987, 710Calculator?

Out the numbers 365, 680, 987, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.