GCD of 88, 800, 142, 182 Calculator

Given Input numbers are 88, 800, 142, 182

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 88, 800, 142, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 800, 142, 182 is 2.

Therefore, GCD of numbers 88, 800, 142, 182 is 2

Given Input Data is 88, 800, 142, 182

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 142 is 2 x 71

Prime Factorization of 182 is 2 x 7 x 13

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(88, 800) = 8800

GCD(88, 800) = ( 88 x 800 ) / 8800

GCD(88, 800) = 70400 / 8800

GCD(88, 800) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 142

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

LCM(8, 142) = 568

GCD(8, 142) = ( 8 x 142 ) / 568

GCD(8, 142) = 1136 / 568

GCD(8, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 88, 800, 142, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 111, 893, 543
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• GCD of 12, 223, 991, 139
• GCD of 25, 484, 184, 910
• GCD of 38, 483, 211, 689

1. What is the GCD of 88, 800, 142, 182?

GCD of 88, 800, 142, 182 is 2

2. Where do I get the detailed procedure to find GCD of 88, 800, 142, 182?

You can find a detailed procedure to find GCD of 88, 800, 142, 182 on our page.

3. How to find GCD of 88, 800, 142, 182 on a calculator?

You can find the GCD of 88, 800, 142, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.