GCD of 44, 556, 735, 420 Calculator

Given Input numbers are 44, 556, 735, 420

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 44, 556, 735, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 556, 735, 420 is 1.

Therefore, GCD of numbers 44, 556, 735, 420 is 1

Given Input Data is 44, 556, 735, 420

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(44, 556) = 6116

GCD(44, 556) = ( 44 x 556 ) / 6116

GCD(44, 556) = 24464 / 6116

GCD(44, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 44, 556, 735, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 943, 147, 363
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• GCD of 68, 326, 481, 191
• GCD of 48, 976, 720, 427

1. What is the GCD of 44, 556, 735, 420?

GCD of 44, 556, 735, 420 is 1

2. Where do I get the detailed procedure to find GCD of 44, 556, 735, 420?

You can find a detailed procedure to find GCD of 44, 556, 735, 420 on our page.

3. How to find GCD of 44, 556, 735, 420 on a calculator?

You can find the GCD of 44, 556, 735, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.