GCD of 772, 456, 740, 616 Calculator

Given Input numbers are 772, 456, 740, 616

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 772, 456, 740, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 456, 740, 616 is 4.

Therefore, GCD of numbers 772, 456, 740, 616 is 4

Given Input Data is 772, 456, 740, 616

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 456) = 88008

GCD(772, 456) = ( 772 x 456 ) / 88008

GCD(772, 456) = 352032 / 88008

GCD(772, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 740

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

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

GCD(4, 740) = 2960 / 740

GCD(4, 740) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 616

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

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

GCD(4, 616) = 2464 / 616

GCD(4, 616) = 4

GCD of 772, 456, 740, 616 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 565, 902, 677
• GCD of 498, 644, 806, 231
• GCD of 699, 206, 867, 968
• GCD of 381, 485, 975, 876
• GCD of 501, 356, 964, 592

1. What is the GCD of 772, 456, 740, 616?

GCD of 772, 456, 740, 616 is 4

2. Where do I get the detailed procedure to find GCD of 772, 456, 740, 616?

You can find a detailed procedure to find GCD of 772, 456, 740, 616 on our page.

3. How to find GCD of 772, 456, 740, 616 on a calculator?

You can find the GCD of 772, 456, 740, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.