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GCD of 695, 725, 220, 670 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, 725, 220, 670 quickly. Get the easiest ways to solve the greatest common divisor of 695, 725, 220, 670 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 695, 725, 220, 670 with Factoring?

Given Input numbers are 695, 725, 220, 670

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (695, 725, 220, 670) = 5.

Find GCD of 695, 725, 220, 670 using Prime Factorization

Given numbers are 695, 725, 220, 670

The list of prime factors of all numbers are

Prime factors of 695 are 5 x 139

Prime factors of 725 are 5 x 5 x 29

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 51

Therefore, GCD of 695, 725, 220, 670 is 5.

Steps to Calculate GCD of 695, 725, 220, 670 using LCM Formula

Given numbers are 695, 725, 220, 670

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

Apply this formula for all numbers.

Step1:

LCM(695, 725) = 100775

GCD(695, 725) = ( 695 x 725 ) / 100775

= 695 / 725

= 695


Step2:

LCM(5, 220) = 220

GCD(5, 220) = ( 5 x 220 ) / 220

= 5 / 220

= 5


Step3:

LCM(5, 670) = 670

GCD(5, 670) = ( 5 x 670 ) / 670

= 5 / 670

= 5


So, Greatest Common Divisor of 695, 725, 220, 670 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 695, 725, 220, 670

Given numbers are 695, 725, 220, 670
The greatest common divisor of numbers 695, 725, 220, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 725, 220, 670 is 5.

FAQs on GCD of 695, 725, 220, 670 Calculator

1. What is the GCD of 695, 725, 220, 670?

GCD of given numbers 695, 725, 220, 670 is 5


2. How to calculate the greatest common divisor of 695, 725, 220, 670?

We can find the highest common divisor of 695, 725, 220, 670 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, 725, 220, 670 i.e 5.


3. How can I use the GCD of 695, 725, 220, 670Calculator?

Out the numbers 695, 725, 220, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.