GCD of 735, 260, 371, 208 Calculator

Given Input numbers are 735, 260, 371, 208

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 735, 260, 371, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 260, 371, 208 is 1.

Therefore, GCD of numbers 735, 260, 371, 208 is 1

Given Input Data is 735, 260, 371, 208

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 371 is 7 x 53

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 260) = 38220

GCD(735, 260) = ( 735 x 260 ) / 38220

GCD(735, 260) = 191100 / 38220

GCD(735, 260) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 371

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

LCM(5, 371) = 1855

GCD(5, 371) = ( 5 x 371 ) / 1855

GCD(5, 371) = 1855 / 1855

GCD(5, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 735, 260, 371, 208 is 1

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1. What is the GCD of 735, 260, 371, 208?

GCD of 735, 260, 371, 208 is 1

2. Where do I get the detailed procedure to find GCD of 735, 260, 371, 208?

You can find a detailed procedure to find GCD of 735, 260, 371, 208 on our page.

3. How to find GCD of 735, 260, 371, 208 on a calculator?

You can find the GCD of 735, 260, 371, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.