GCD of 764, 275, 65, 997 Calculator

Given Input numbers are 764, 275, 65, 997

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 764, 275, 65, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 275, 65, 997 is 1.

Therefore, GCD of numbers 764, 275, 65, 997 is 1

Given Input Data is 764, 275, 65, 997

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 997 is 997

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(764, 275) = 210100

GCD(764, 275) = ( 764 x 275 ) / 210100

GCD(764, 275) = 210100 / 210100

GCD(764, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 764, 275, 65, 997 is 1

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1. What is the GCD of 764, 275, 65, 997?

GCD of 764, 275, 65, 997 is 1

2. Where do I get the detailed procedure to find GCD of 764, 275, 65, 997?

You can find a detailed procedure to find GCD of 764, 275, 65, 997 on our page.

3. How to find GCD of 764, 275, 65, 997 on a calculator?

You can find the GCD of 764, 275, 65, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.