GCD of 548, 737, 468, 100 Calculator

Given Input numbers are 548, 737, 468, 100

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Greatest Common Divisior

We found the divisors of 548, 737, 468, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 737, 468, 100 is 1.

Therefore, GCD of numbers 548, 737, 468, 100 is 1

Given Input Data is 548, 737, 468, 100

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 737 is 11 x 67

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

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(548, 737) = 403876

GCD(548, 737) = ( 548 x 737 ) / 403876

GCD(548, 737) = 403876 / 403876

GCD(548, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

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

GCD of 548, 737, 468, 100 is 1

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1. What is the GCD of 548, 737, 468, 100?

GCD of 548, 737, 468, 100 is 1

2. Where do I get the detailed procedure to find GCD of 548, 737, 468, 100?

You can find a detailed procedure to find GCD of 548, 737, 468, 100 on our page.

3. How to find GCD of 548, 737, 468, 100 on a calculator?

You can find the GCD of 548, 737, 468, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.