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GCD of 695, 360, 61 Calculator

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


Online GCD Calculator is useful to find the GCD of 695, 360, 61 quickly. Get the easiest ways to solve the greatest common divisor of 695, 360, 61 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 695, 360, 61 with Factoring?

Given Input numbers are 695, 360, 61

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

Divisors of 695 :

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

1, 5, 139, 695

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61


GCD of numbers is the greatest common divisor

So, the GCD (695, 360, 61) = 1.

Find GCD of 695, 360, 61 using Prime Factorization

Given numbers are 695, 360, 61

The list of prime factors of all numbers are

Prime factors of 695 are 5 x 139

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 61 are 61

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

Steps to Calculate GCD of 695, 360, 61 using LCM Formula

Given numbers are 695, 360, 61

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

Apply this formula for all numbers.

Step1:

LCM(695, 360) = 50040

GCD(695, 360) = ( 695 x 360 ) / 50040

= 695 / 360

= 695


Step2:

LCM(5, 61) = 305

GCD(5, 61) = ( 5 x 61 ) / 305

= 5 / 61

= 5


So, Greatest Common Divisor of 695, 360, 61 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 695, 360, 61

Given numbers are 695, 360, 61
The greatest common divisor of numbers 695, 360, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 360, 61 is 1.

FAQs on GCD of 695, 360, 61 Calculator

1. What is the GCD of 695, 360, 61?

GCD of given numbers 695, 360, 61 is 1


2. How to calculate the greatest common divisor of 695, 360, 61?

We can find the highest common divisor of 695, 360, 61 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 695, 360, 61 i.e 1.


3. How can I use the GCD of 695, 360, 61Calculator?

Out the numbers 695, 360, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.