GCD of 760, 120, 544, 156 Calculator

Given Input numbers are 760, 120, 544, 156

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 760, 120, 544, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 120, 544, 156 is 4.

Therefore, GCD of numbers 760, 120, 544, 156 is 4

Given Input Data is 760, 120, 544, 156

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(760, 120) = 2280

GCD(760, 120) = ( 760 x 120 ) / 2280

GCD(760, 120) = 91200 / 2280

GCD(760, 120) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 544

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

LCM(40, 544) = 2720

GCD(40, 544) = ( 40 x 544 ) / 2720

GCD(40, 544) = 21760 / 2720

GCD(40, 544) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 156

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

LCM(8, 156) = 312

GCD(8, 156) = ( 8 x 156 ) / 312

GCD(8, 156) = 1248 / 312

GCD(8, 156) = 4

GCD of 760, 120, 544, 156 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 784, 285, 684
• GCD of 321, 203, 905, 424
• GCD of 553, 225, 815, 689
• GCD of 782, 980, 900, 616
• GCD of 185, 989, 481, 688

1. What is the GCD of 760, 120, 544, 156?

GCD of 760, 120, 544, 156 is 4

2. Where do I get the detailed procedure to find GCD of 760, 120, 544, 156?

You can find a detailed procedure to find GCD of 760, 120, 544, 156 on our page.

3. How to find GCD of 760, 120, 544, 156 on a calculator?

You can find the GCD of 760, 120, 544, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.