GCD of 746, 774, 10, 252 Calculator

Given Input numbers are 746, 774, 10, 252

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 746, 774, 10, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 774, 10, 252 is 2.

Therefore, GCD of numbers 746, 774, 10, 252 is 2

Given Input Data is 746, 774, 10, 252

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 10 is 2 x 5

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(746, 774) = 288702

GCD(746, 774) = ( 746 x 774 ) / 288702

GCD(746, 774) = 577404 / 288702

GCD(746, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

GCD of 746, 774, 10, 252 is 2

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• GCD of 749, 444, 32, 186
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• GCD of 755, 398, 12, 742

1. What is the GCD of 746, 774, 10, 252?

GCD of 746, 774, 10, 252 is 2

2. Where do I get the detailed procedure to find GCD of 746, 774, 10, 252?

You can find a detailed procedure to find GCD of 746, 774, 10, 252 on our page.

3. How to find GCD of 746, 774, 10, 252 on a calculator?

You can find the GCD of 746, 774, 10, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.