GCD of 76, 542, 598, 776 Calculator

Given Input numbers are 76, 542, 598, 776

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 542

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

1, 2, 271, 542

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 76, 542, 598, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 542, 598, 776 is 2.

Therefore, GCD of numbers 76, 542, 598, 776 is 2

Given Input Data is 76, 542, 598, 776

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 542 is 2 x 271

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(76, 542) = 20596

GCD(76, 542) = ( 76 x 542 ) / 20596

GCD(76, 542) = 41192 / 20596

GCD(76, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

GCD of 76, 542, 598, 776 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 827, 150, 670
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• GCD of 23, 802, 936, 568

1. What is the GCD of 76, 542, 598, 776?

GCD of 76, 542, 598, 776 is 2

2. Where do I get the detailed procedure to find GCD of 76, 542, 598, 776?

You can find a detailed procedure to find GCD of 76, 542, 598, 776 on our page.

3. How to find GCD of 76, 542, 598, 776 on a calculator?

You can find the GCD of 76, 542, 598, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.