GCD of 726, 278, 870, 748 Calculator

Given Input numbers are 726, 278, 870, 748

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

Greatest Common Divisior

We found the divisors of 726, 278, 870, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 278, 870, 748 is 2.

Therefore, GCD of numbers 726, 278, 870, 748 is 2

Given Input Data is 726, 278, 870, 748

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 278 is 2 x 139

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(726, 278) = 100914

GCD(726, 278) = ( 726 x 278 ) / 100914

GCD(726, 278) = 201828 / 100914

GCD(726, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 726, 278, 870, 748 is 2

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1. What is the GCD of 726, 278, 870, 748?

GCD of 726, 278, 870, 748 is 2

2. Where do I get the detailed procedure to find GCD of 726, 278, 870, 748?

You can find a detailed procedure to find GCD of 726, 278, 870, 748 on our page.

3. How to find GCD of 726, 278, 870, 748 on a calculator?

You can find the GCD of 726, 278, 870, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.