GCD of 980, 788, 150, 762 Calculator

Given Input numbers are 980, 788, 150, 762

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 980, 788, 150, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 788, 150, 762 is 2.

Therefore, GCD of numbers 980, 788, 150, 762 is 2

Given Input Data is 980, 788, 150, 762

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 762 is 2 x 3 x 127

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(980, 788) = 193060

GCD(980, 788) = ( 980 x 788 ) / 193060

GCD(980, 788) = 772240 / 193060

GCD(980, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 150

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

LCM(4, 150) = 300

GCD(4, 150) = ( 4 x 150 ) / 300

GCD(4, 150) = 600 / 300

GCD(4, 150) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 980, 788, 150, 762 is 2

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1. What is the GCD of 980, 788, 150, 762?

GCD of 980, 788, 150, 762 is 2

2. Where do I get the detailed procedure to find GCD of 980, 788, 150, 762?

You can find a detailed procedure to find GCD of 980, 788, 150, 762 on our page.

3. How to find GCD of 980, 788, 150, 762 on a calculator?

You can find the GCD of 980, 788, 150, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.