GCD of 60, 760, 748, 560 Calculator

Given Input numbers are 60, 760, 748, 560

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 60, 760, 748, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 760, 748, 560 is 4.

Therefore, GCD of numbers 60, 760, 748, 560 is 4

Given Input Data is 60, 760, 748, 560

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(60, 760) = 2280

GCD(60, 760) = ( 60 x 760 ) / 2280

GCD(60, 760) = 45600 / 2280

GCD(60, 760) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 748

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

LCM(20, 748) = 3740

GCD(20, 748) = ( 20 x 748 ) / 3740

GCD(20, 748) = 14960 / 3740

GCD(20, 748) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

GCD of 60, 760, 748, 560 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 509, 840, 717
• GCD of 54, 650, 625, 843
• GCD of 49, 962, 638, 168
• GCD of 24, 664, 649, 439
• GCD of 85, 135, 345, 831

1. What is the GCD of 60, 760, 748, 560?

GCD of 60, 760, 748, 560 is 4

2. Where do I get the detailed procedure to find GCD of 60, 760, 748, 560?

You can find a detailed procedure to find GCD of 60, 760, 748, 560 on our page.

3. How to find GCD of 60, 760, 748, 560 on a calculator?

You can find the GCD of 60, 760, 748, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.