GCD of 630, 302, 776, 926 Calculator

Given Input numbers are 630, 302, 776, 926

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 776

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

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 630, 302, 776, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 302, 776, 926 is 2.

Therefore, GCD of numbers 630, 302, 776, 926 is 2

Given Input Data is 630, 302, 776, 926

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 926 is 2 x 463

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(630, 302) = 95130

GCD(630, 302) = ( 630 x 302 ) / 95130

GCD(630, 302) = 190260 / 95130

GCD(630, 302) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 630, 302, 776, 926 is 2

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1. What is the GCD of 630, 302, 776, 926?

GCD of 630, 302, 776, 926 is 2

2. Where do I get the detailed procedure to find GCD of 630, 302, 776, 926?

You can find a detailed procedure to find GCD of 630, 302, 776, 926 on our page.

3. How to find GCD of 630, 302, 776, 926 on a calculator?

You can find the GCD of 630, 302, 776, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.