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GCD of 714, 695, 958, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 714, 695, 958, 180 quickly. Get the easiest ways to solve the greatest common divisor of 714, 695, 958, 180 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 714, 695, 958, 180 with Factoring?

Given Input numbers are 714, 695, 958, 180

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180


GCD of numbers is the greatest common divisor

So, the GCD (714, 695, 958, 180) = 1.

Find GCD of 714, 695, 958, 180 using Prime Factorization

Given numbers are 714, 695, 958, 180

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 695 are 5 x 139

Prime factors of 958 are 2 x 479

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 714, 695, 958, 180 using LCM Formula

Given numbers are 714, 695, 958, 180

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

Apply this formula for all numbers.

Step1:

LCM(714, 695) = 496230

GCD(714, 695) = ( 714 x 695 ) / 496230

= 714 / 695

= 714


Step2:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1


Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


So, Greatest Common Divisor of 714, 695, 958, 180 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 714, 695, 958, 180

Given numbers are 714, 695, 958, 180
The greatest common divisor of numbers 714, 695, 958, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 695, 958, 180 is 1.

FAQs on GCD of 714, 695, 958, 180 Calculator

1. What is the GCD of 714, 695, 958, 180?

GCD of given numbers 714, 695, 958, 180 is 1


2. How to calculate the greatest common divisor of 714, 695, 958, 180?

We can find the highest common divisor of 714, 695, 958, 180 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 714, 695, 958, 180 i.e 1.


3. How can I use the GCD of 714, 695, 958, 180Calculator?

Out the numbers 714, 695, 958, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.