GCD of 553, 109, 340, 977 Calculator

Given Input numbers are 553, 109, 340, 977

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 553, 109, 340, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 109, 340, 977 is 1.

Therefore, GCD of numbers 553, 109, 340, 977 is 1

Given Input Data is 553, 109, 340, 977

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 109 is 109

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 977 is 977

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, 109) = 60277

GCD(553, 109) = ( 553 x 109 ) / 60277

GCD(553, 109) = 60277 / 60277

GCD(553, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 553, 109, 340, 977 is 1

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1. What is the GCD of 553, 109, 340, 977?

GCD of 553, 109, 340, 977 is 1

2. Where do I get the detailed procedure to find GCD of 553, 109, 340, 977?

You can find a detailed procedure to find GCD of 553, 109, 340, 977 on our page.

3. How to find GCD of 553, 109, 340, 977 on a calculator?

You can find the GCD of 553, 109, 340, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.