GCD of 764, 660, 775, 196 Calculator

Given Input numbers are 764, 660, 775, 196

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 764, 660, 775, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 660, 775, 196 is 1.

Therefore, GCD of numbers 764, 660, 775, 196 is 1

Given Input Data is 764, 660, 775, 196

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 196 is 2 x 2 x 7 x 7

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, 660) = 126060

GCD(764, 660) = ( 764 x 660 ) / 126060

GCD(764, 660) = 504240 / 126060

GCD(764, 660) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 775

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

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

GCD(4, 775) = 3100 / 3100

GCD(4, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 764, 660, 775, 196 is 1

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1. What is the GCD of 764, 660, 775, 196?

GCD of 764, 660, 775, 196 is 1

2. Where do I get the detailed procedure to find GCD of 764, 660, 775, 196?

You can find a detailed procedure to find GCD of 764, 660, 775, 196 on our page.

3. How to find GCD of 764, 660, 775, 196 on a calculator?

You can find the GCD of 764, 660, 775, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.