GCD of 250, 615, 10, 735 Calculator

Given Input numbers are 250, 615, 10, 735

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 250, 615, 10, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 615, 10, 735 is 5.

Therefore, GCD of numbers 250, 615, 10, 735 is 5

Given Input Data is 250, 615, 10, 735

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 10 is 2 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(250, 615) = 30750

GCD(250, 615) = ( 250 x 615 ) / 30750

GCD(250, 615) = 153750 / 30750

GCD(250, 615) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 735

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

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

GCD(5, 735) = 3675 / 735

GCD(5, 735) = 5

GCD of 250, 615, 10, 735 is 5

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• GCD of 131, 460, 51, 695
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1. What is the GCD of 250, 615, 10, 735?

GCD of 250, 615, 10, 735 is 5

2. Where do I get the detailed procedure to find GCD of 250, 615, 10, 735?

You can find a detailed procedure to find GCD of 250, 615, 10, 735 on our page.

3. How to find GCD of 250, 615, 10, 735 on a calculator?

You can find the GCD of 250, 615, 10, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.