GCD of 735, 548, 51, 250 Calculator

Given Input numbers are 735, 548, 51, 250

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

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 250

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

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

Greatest Common Divisior

We found the divisors of 735, 548, 51, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 548, 51, 250 is 1.

Therefore, GCD of numbers 735, 548, 51, 250 is 1

Given Input Data is 735, 548, 51, 250

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

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 51 is 3 x 17

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

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

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(735, 548) = 402780

GCD(735, 548) = ( 735 x 548 ) / 402780

GCD(735, 548) = 402780 / 402780

GCD(735, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 735, 548, 51, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 773, 72, 873
• GCD of 528, 238, 51, 915
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• GCD of 179, 156, 70, 722

1. What is the GCD of 735, 548, 51, 250?

GCD of 735, 548, 51, 250 is 1

2. Where do I get the detailed procedure to find GCD of 735, 548, 51, 250?

You can find a detailed procedure to find GCD of 735, 548, 51, 250 on our page.

3. How to find GCD of 735, 548, 51, 250 on a calculator?

You can find the GCD of 735, 548, 51, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.