GCD of 645, 155, 535, 695 Calculator

Given Input numbers are 645, 155, 535, 695

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 645, 155, 535, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 155, 535, 695 is 5.

Therefore, GCD of numbers 645, 155, 535, 695 is 5

Given Input Data is 645, 155, 535, 695

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 155 is 5 x 31

Prime Factorization of 535 is 5 x 107

Prime Factorization of 695 is 5 x 139

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(645, 155) = 19995

GCD(645, 155) = ( 645 x 155 ) / 19995

GCD(645, 155) = 99975 / 19995

GCD(645, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 535

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

LCM(5, 535) = 535

GCD(5, 535) = ( 5 x 535 ) / 535

GCD(5, 535) = 2675 / 535

GCD(5, 535) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 695

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

LCM(5, 695) = 695

GCD(5, 695) = ( 5 x 695 ) / 695

GCD(5, 695) = 3475 / 695

GCD(5, 695) = 5

GCD of 645, 155, 535, 695 is 5

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1. What is the GCD of 645, 155, 535, 695?

GCD of 645, 155, 535, 695 is 5

2. Where do I get the detailed procedure to find GCD of 645, 155, 535, 695?

You can find a detailed procedure to find GCD of 645, 155, 535, 695 on our page.

3. How to find GCD of 645, 155, 535, 695 on a calculator?

You can find the GCD of 645, 155, 535, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.