GCD of 356, 726, 542, 750 Calculator

Given Input numbers are 356, 726, 542, 750

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 356, 726, 542, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 726, 542, 750 is 2.

Therefore, GCD of numbers 356, 726, 542, 750 is 2

Given Input Data is 356, 726, 542, 750

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

Prime Factorization of 356 is 2 x 2 x 89

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(356, 726) = 129228

GCD(356, 726) = ( 356 x 726 ) / 129228

GCD(356, 726) = 258456 / 129228

GCD(356, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 356, 726, 542, 750 is 2

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1. What is the GCD of 356, 726, 542, 750?

GCD of 356, 726, 542, 750 is 2

2. Where do I get the detailed procedure to find GCD of 356, 726, 542, 750?

You can find a detailed procedure to find GCD of 356, 726, 542, 750 on our page.

3. How to find GCD of 356, 726, 542, 750 on a calculator?

You can find the GCD of 356, 726, 542, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.