GCD of 612, 392, 776, 970 Calculator

Given Input numbers are 612, 392, 776, 970

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 612, 392, 776, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 392, 776, 970 is 2.

Therefore, GCD of numbers 612, 392, 776, 970 is 2

Given Input Data is 612, 392, 776, 970

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 970 is 2 x 5 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(612, 392) = 59976

GCD(612, 392) = ( 612 x 392 ) / 59976

GCD(612, 392) = 239904 / 59976

GCD(612, 392) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 776

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

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

GCD(4, 776) = 3104 / 776

GCD(4, 776) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 970

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

LCM(4, 970) = 1940

GCD(4, 970) = ( 4 x 970 ) / 1940

GCD(4, 970) = 3880 / 1940

GCD(4, 970) = 2

GCD of 612, 392, 776, 970 is 2

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1. What is the GCD of 612, 392, 776, 970?

GCD of 612, 392, 776, 970 is 2

2. Where do I get the detailed procedure to find GCD of 612, 392, 776, 970?

You can find a detailed procedure to find GCD of 612, 392, 776, 970 on our page.

3. How to find GCD of 612, 392, 776, 970 on a calculator?

You can find the GCD of 612, 392, 776, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.