GCD of 677, 617, 100, 755 Calculator

Given Input numbers are 677, 617, 100, 755

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 677, 617, 100, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 617, 100, 755 is 1.

Therefore, GCD of numbers 677, 617, 100, 755 is 1

Given Input Data is 677, 617, 100, 755

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

Prime Factorization of 677 is 677

Prime Factorization of 617 is 617

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 755 is 5 x 151

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(677, 617) = 417709

GCD(677, 617) = ( 677 x 617 ) / 417709

GCD(677, 617) = 417709 / 417709

GCD(677, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 677, 617, 100, 755 is 1

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1. What is the GCD of 677, 617, 100, 755?

GCD of 677, 617, 100, 755 is 1

2. Where do I get the detailed procedure to find GCD of 677, 617, 100, 755?

You can find a detailed procedure to find GCD of 677, 617, 100, 755 on our page.

3. How to find GCD of 677, 617, 100, 755 on a calculator?

You can find the GCD of 677, 617, 100, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.