GCD of 553, 135, 970, 994 Calculator

Given Input numbers are 553, 135, 970, 994

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 970

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

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 553, 135, 970, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 135, 970, 994 is 1.

Therefore, GCD of numbers 553, 135, 970, 994 is 1

Given Input Data is 553, 135, 970, 994

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 994 is 2 x 7 x 71

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(553, 135) = 74655

GCD(553, 135) = ( 553 x 135 ) / 74655

GCD(553, 135) = 74655 / 74655

GCD(553, 135) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 553, 135, 970, 994 is 1

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1. What is the GCD of 553, 135, 970, 994?

GCD of 553, 135, 970, 994 is 1

2. Where do I get the detailed procedure to find GCD of 553, 135, 970, 994?

You can find a detailed procedure to find GCD of 553, 135, 970, 994 on our page.

3. How to find GCD of 553, 135, 970, 994 on a calculator?

You can find the GCD of 553, 135, 970, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.