GCD of 998, 100, 762, 960 Calculator

Given Input numbers are 998, 100, 762, 960

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 762

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 998, 100, 762, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 100, 762, 960 is 2.

Therefore, GCD of numbers 998, 100, 762, 960 is 2

Given Input Data is 998, 100, 762, 960

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(998, 100) = 49900

GCD(998, 100) = ( 998 x 100 ) / 49900

GCD(998, 100) = 99800 / 49900

GCD(998, 100) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 998, 100, 762, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 839, 928, 239
• GCD of 107, 484, 247, 447
• GCD of 790, 684, 247, 252
• GCD of 253, 992, 615, 398
• GCD of 858, 163, 501, 858

1. What is the GCD of 998, 100, 762, 960?

GCD of 998, 100, 762, 960 is 2

2. Where do I get the detailed procedure to find GCD of 998, 100, 762, 960?

You can find a detailed procedure to find GCD of 998, 100, 762, 960 on our page.

3. How to find GCD of 998, 100, 762, 960 on a calculator?

You can find the GCD of 998, 100, 762, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.