GCD of 364, 236, 735, 992 Calculator

Given Input numbers are 364, 236, 735, 992

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 364, 236, 735, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 236, 735, 992 is 1.

Therefore, GCD of numbers 364, 236, 735, 992 is 1

Given Input Data is 364, 236, 735, 992

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 236 is 2 x 2 x 59

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(364, 236) = 21476

GCD(364, 236) = ( 364 x 236 ) / 21476

GCD(364, 236) = 85904 / 21476

GCD(364, 236) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 364, 236, 735, 992 is 1

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1. What is the GCD of 364, 236, 735, 992?

GCD of 364, 236, 735, 992 is 1

2. Where do I get the detailed procedure to find GCD of 364, 236, 735, 992?

You can find a detailed procedure to find GCD of 364, 236, 735, 992 on our page.

3. How to find GCD of 364, 236, 735, 992 on a calculator?

You can find the GCD of 364, 236, 735, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.