GCD of 220, 752, 862, 102 Calculator

Given Input numbers are 220, 752, 862, 102

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 220, 752, 862, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 752, 862, 102 is 2.

Therefore, GCD of numbers 220, 752, 862, 102 is 2

Given Input Data is 220, 752, 862, 102

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 862 is 2 x 431

Prime Factorization of 102 is 2 x 3 x 17

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(220, 752) = 41360

GCD(220, 752) = ( 220 x 752 ) / 41360

GCD(220, 752) = 165440 / 41360

GCD(220, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 862

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

LCM(4, 862) = 1724

GCD(4, 862) = ( 4 x 862 ) / 1724

GCD(4, 862) = 3448 / 1724

GCD(4, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

GCD of 220, 752, 862, 102 is 2

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1. What is the GCD of 220, 752, 862, 102?

GCD of 220, 752, 862, 102 is 2

2. Where do I get the detailed procedure to find GCD of 220, 752, 862, 102?

You can find a detailed procedure to find GCD of 220, 752, 862, 102 on our page.

3. How to find GCD of 220, 752, 862, 102 on a calculator?

You can find the GCD of 220, 752, 862, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.