GCD of 120, 756, 74, 429 Calculator

Given Input numbers are 120, 756, 74, 429

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 120, 756, 74, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 756, 74, 429 is 1.

Therefore, GCD of numbers 120, 756, 74, 429 is 1

Given Input Data is 120, 756, 74, 429

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 429 is 3 x 11 x 13

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(120, 756) = 7560

GCD(120, 756) = ( 120 x 756 ) / 7560

GCD(120, 756) = 90720 / 7560

GCD(120, 756) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 74

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

LCM(12, 74) = 444

GCD(12, 74) = ( 12 x 74 ) / 444

GCD(12, 74) = 888 / 444

GCD(12, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

GCD of 120, 756, 74, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 599, 56, 986
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• GCD of 687, 270, 17, 652
• GCD of 542, 441, 33, 906
• GCD of 726, 327, 47, 887

1. What is the GCD of 120, 756, 74, 429?

GCD of 120, 756, 74, 429 is 1

2. Where do I get the detailed procedure to find GCD of 120, 756, 74, 429?

You can find a detailed procedure to find GCD of 120, 756, 74, 429 on our page.

3. How to find GCD of 120, 756, 74, 429 on a calculator?

You can find the GCD of 120, 756, 74, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.