GCD of 612, 700, 138, 441 Calculator

Given Input numbers are 612, 700, 138, 441

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 612, 700, 138, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 700, 138, 441 is 1.

Therefore, GCD of numbers 612, 700, 138, 441 is 1

Given Input Data is 612, 700, 138, 441

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(612, 700) = 107100

GCD(612, 700) = ( 612 x 700 ) / 107100

GCD(612, 700) = 428400 / 107100

GCD(612, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 138

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

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

GCD(4, 138) = 552 / 276

GCD(4, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

GCD of 612, 700, 138, 441 is 1

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1. What is the GCD of 612, 700, 138, 441?

GCD of 612, 700, 138, 441 is 1

2. Where do I get the detailed procedure to find GCD of 612, 700, 138, 441?

You can find a detailed procedure to find GCD of 612, 700, 138, 441 on our page.

3. How to find GCD of 612, 700, 138, 441 on a calculator?

You can find the GCD of 612, 700, 138, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.