GCD of 488, 616, 152, 772 Calculator

Given Input numbers are 488, 616, 152, 772

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

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

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 772

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

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 488, 616, 152, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 616, 152, 772 is 4.

Therefore, GCD of numbers 488, 616, 152, 772 is 4

Given Input Data is 488, 616, 152, 772

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 772 is 2 x 2 x 193

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(488, 616) = 37576

GCD(488, 616) = ( 488 x 616 ) / 37576

GCD(488, 616) = 300608 / 37576

GCD(488, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 152

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

LCM(8, 152) = 152

GCD(8, 152) = ( 8 x 152 ) / 152

GCD(8, 152) = 1216 / 152

GCD(8, 152) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 772

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

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

GCD(8, 772) = 6176 / 1544

GCD(8, 772) = 4

GCD of 488, 616, 152, 772 is 4

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1. What is the GCD of 488, 616, 152, 772?

GCD of 488, 616, 152, 772 is 4

2. Where do I get the detailed procedure to find GCD of 488, 616, 152, 772?

You can find a detailed procedure to find GCD of 488, 616, 152, 772 on our page.

3. How to find GCD of 488, 616, 152, 772 on a calculator?

You can find the GCD of 488, 616, 152, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.