GCD of 292, 991, 77, 675 Calculator

Given Input numbers are 292, 991, 77, 675

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 991

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

1, 991

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 292, 991, 77, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 991, 77, 675 is 1.

Therefore, GCD of numbers 292, 991, 77, 675 is 1

Given Input Data is 292, 991, 77, 675

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 991 is 991

Prime Factorization of 77 is 7 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(292, 991) = 289372

GCD(292, 991) = ( 292 x 991 ) / 289372

GCD(292, 991) = 289372 / 289372

GCD(292, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 292, 991, 77, 675 is 1

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1. What is the GCD of 292, 991, 77, 675?

GCD of 292, 991, 77, 675 is 1

2. Where do I get the detailed procedure to find GCD of 292, 991, 77, 675?

You can find a detailed procedure to find GCD of 292, 991, 77, 675 on our page.

3. How to find GCD of 292, 991, 77, 675 on a calculator?

You can find the GCD of 292, 991, 77, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.