GCD of 92, 268, 132, 858 Calculator

Given Input numbers are 92, 268, 132, 858

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 92, 268, 132, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 268, 132, 858 is 2.

Therefore, GCD of numbers 92, 268, 132, 858 is 2

Given Input Data is 92, 268, 132, 858

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 858 is 2 x 3 x 11 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(92, 268) = 6164

GCD(92, 268) = ( 92 x 268 ) / 6164

GCD(92, 268) = 24656 / 6164

GCD(92, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 132

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

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

GCD(4, 132) = 528 / 132

GCD(4, 132) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 858

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

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

GCD(4, 858) = 3432 / 1716

GCD(4, 858) = 2

GCD of 92, 268, 132, 858 is 2

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1. What is the GCD of 92, 268, 132, 858?

GCD of 92, 268, 132, 858 is 2

2. Where do I get the detailed procedure to find GCD of 92, 268, 132, 858?

You can find a detailed procedure to find GCD of 92, 268, 132, 858 on our page.

3. How to find GCD of 92, 268, 132, 858 on a calculator?

You can find the GCD of 92, 268, 132, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.