GCD of 264, 991, 735, 760 Calculator

Given Input numbers are 264, 991, 735, 760

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 264, 991, 735, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 991, 735, 760 is 1.

Therefore, GCD of numbers 264, 991, 735, 760 is 1

Given Input Data is 264, 991, 735, 760

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 991 is 991

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(264, 991) = 261624

GCD(264, 991) = ( 264 x 991 ) / 261624

GCD(264, 991) = 261624 / 261624

GCD(264, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 264, 991, 735, 760 is 1

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1. What is the GCD of 264, 991, 735, 760?

GCD of 264, 991, 735, 760 is 1

2. Where do I get the detailed procedure to find GCD of 264, 991, 735, 760?

You can find a detailed procedure to find GCD of 264, 991, 735, 760 on our page.

3. How to find GCD of 264, 991, 735, 760 on a calculator?

You can find the GCD of 264, 991, 735, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.