GCD of 268, 350, 972, 748 Calculator

Given Input numbers are 268, 350, 972, 748

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 268, 350, 972, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 350, 972, 748 is 2.

Therefore, GCD of numbers 268, 350, 972, 748 is 2

Given Input Data is 268, 350, 972, 748

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(268, 350) = 46900

GCD(268, 350) = ( 268 x 350 ) / 46900

GCD(268, 350) = 93800 / 46900

GCD(268, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 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 268, 350, 972, 748 is 2

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1. What is the GCD of 268, 350, 972, 748?

GCD of 268, 350, 972, 748 is 2

2. Where do I get the detailed procedure to find GCD of 268, 350, 972, 748?

You can find a detailed procedure to find GCD of 268, 350, 972, 748 on our page.

3. How to find GCD of 268, 350, 972, 748 on a calculator?

You can find the GCD of 268, 350, 972, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.