GCD of 577, 968, 55, 746 Calculator

Given Input numbers are 577, 968, 55, 746

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 577, 968, 55, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 968, 55, 746 is 1.

Therefore, GCD of numbers 577, 968, 55, 746 is 1

Given Input Data is 577, 968, 55, 746

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

Prime Factorization of 577 is 577

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 55 is 5 x 11

Prime Factorization of 746 is 2 x 373

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(577, 968) = 558536

GCD(577, 968) = ( 577 x 968 ) / 558536

GCD(577, 968) = 558536 / 558536

GCD(577, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 577, 968, 55, 746 is 1

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1. What is the GCD of 577, 968, 55, 746?

GCD of 577, 968, 55, 746 is 1

2. Where do I get the detailed procedure to find GCD of 577, 968, 55, 746?

You can find a detailed procedure to find GCD of 577, 968, 55, 746 on our page.

3. How to find GCD of 577, 968, 55, 746 on a calculator?

You can find the GCD of 577, 968, 55, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.