GCD of 735, 775, 74, 138 Calculator

Given Input numbers are 735, 775, 74, 138

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 735, 775, 74, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 775, 74, 138 is 1.

Therefore, GCD of numbers 735, 775, 74, 138 is 1

Given Input Data is 735, 775, 74, 138

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 775 is 5 x 5 x 31

Prime Factorization of 74 is 2 x 37

Prime Factorization of 138 is 2 x 3 x 23

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, 775) = 113925

GCD(735, 775) = ( 735 x 775 ) / 113925

GCD(735, 775) = 569625 / 113925

GCD(735, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 74

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

LCM(5, 74) = 370

GCD(5, 74) = ( 5 x 74 ) / 370

GCD(5, 74) = 370 / 370

GCD(5, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 735, 775, 74, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 540, 75, 156
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• GCD of 454, 264, 80, 789
• GCD of 870, 397, 32, 112

1. What is the GCD of 735, 775, 74, 138?

GCD of 735, 775, 74, 138 is 1

2. Where do I get the detailed procedure to find GCD of 735, 775, 74, 138?

You can find a detailed procedure to find GCD of 735, 775, 74, 138 on our page.

3. How to find GCD of 735, 775, 74, 138 on a calculator?

You can find the GCD of 735, 775, 74, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.