GCD of 748, 988, 550, 276 Calculator

Given Input numbers are 748, 988, 550, 276

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

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 748, 988, 550, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 988, 550, 276 is 2.

Therefore, GCD of numbers 748, 988, 550, 276 is 2

Given Input Data is 748, 988, 550, 276

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

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(748, 988) = 184756

GCD(748, 988) = ( 748 x 988 ) / 184756

GCD(748, 988) = 739024 / 184756

GCD(748, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 550

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

LCM(4, 550) = 1100

GCD(4, 550) = ( 4 x 550 ) / 1100

GCD(4, 550) = 2200 / 1100

GCD(4, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 748, 988, 550, 276 is 2

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1. What is the GCD of 748, 988, 550, 276?

GCD of 748, 988, 550, 276 is 2

2. Where do I get the detailed procedure to find GCD of 748, 988, 550, 276?

You can find a detailed procedure to find GCD of 748, 988, 550, 276 on our page.

3. How to find GCD of 748, 988, 550, 276 on a calculator?

You can find the GCD of 748, 988, 550, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.