GCD of 772, 930, 632, 976 Calculator

Given Input numbers are 772, 930, 632, 976

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 772, 930, 632, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 930, 632, 976 is 2.

Therefore, GCD of numbers 772, 930, 632, 976 is 2

Given Input Data is 772, 930, 632, 976

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(772, 930) = 358980

GCD(772, 930) = ( 772 x 930 ) / 358980

GCD(772, 930) = 717960 / 358980

GCD(772, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

GCD of 772, 930, 632, 976 is 2

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1. What is the GCD of 772, 930, 632, 976?

GCD of 772, 930, 632, 976 is 2

2. Where do I get the detailed procedure to find GCD of 772, 930, 632, 976?

You can find a detailed procedure to find GCD of 772, 930, 632, 976 on our page.

3. How to find GCD of 772, 930, 632, 976 on a calculator?

You can find the GCD of 772, 930, 632, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.