GCD of 480, 758, 976, 122 Calculator

Given Input numbers are 480, 758, 976, 122

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 480, 758, 976, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 758, 976, 122 is 2.

Therefore, GCD of numbers 480, 758, 976, 122 is 2

Given Input Data is 480, 758, 976, 122

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 122 is 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(480, 758) = 181920

GCD(480, 758) = ( 480 x 758 ) / 181920

GCD(480, 758) = 363840 / 181920

GCD(480, 758) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 480, 758, 976, 122 is 2

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1. What is the GCD of 480, 758, 976, 122?

GCD of 480, 758, 976, 122 is 2

2. Where do I get the detailed procedure to find GCD of 480, 758, 976, 122?

You can find a detailed procedure to find GCD of 480, 758, 976, 122 on our page.

3. How to find GCD of 480, 758, 976, 122 on a calculator?

You can find the GCD of 480, 758, 976, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.