GCD of 735, 773, 859, 152 Calculator

Given Input numbers are 735, 773, 859, 152

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 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 735, 773, 859, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 773, 859, 152 is 1.

Therefore, GCD of numbers 735, 773, 859, 152 is 1

Given Input Data is 735, 773, 859, 152

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 773 is 773

Prime Factorization of 859 is 859

Prime Factorization of 152 is 2 x 2 x 2 x 19

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, 773) = 568155

GCD(735, 773) = ( 735 x 773 ) / 568155

GCD(735, 773) = 568155 / 568155

GCD(735, 773) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 735, 773, 859, 152 is 1

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1. What is the GCD of 735, 773, 859, 152?

GCD of 735, 773, 859, 152 is 1

2. Where do I get the detailed procedure to find GCD of 735, 773, 859, 152?

You can find a detailed procedure to find GCD of 735, 773, 859, 152 on our page.

3. How to find GCD of 735, 773, 859, 152 on a calculator?

You can find the GCD of 735, 773, 859, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.