GCD of 274, 197, 66, 970 Calculator

Given Input numbers are 274, 197, 66, 970

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 274, 197, 66, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 197, 66, 970 is 1.

Therefore, GCD of numbers 274, 197, 66, 970 is 1

Given Input Data is 274, 197, 66, 970

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 197 is 197

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 970 is 2 x 5 x 97

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(274, 197) = 53978

GCD(274, 197) = ( 274 x 197 ) / 53978

GCD(274, 197) = 53978 / 53978

GCD(274, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 274, 197, 66, 970 is 1

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1. What is the GCD of 274, 197, 66, 970?

GCD of 274, 197, 66, 970 is 1

2. Where do I get the detailed procedure to find GCD of 274, 197, 66, 970?

You can find a detailed procedure to find GCD of 274, 197, 66, 970 on our page.

3. How to find GCD of 274, 197, 66, 970 on a calculator?

You can find the GCD of 274, 197, 66, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.