GCD of 892, 152, 934, 874 Calculator

Given Input numbers are 892, 152, 934, 874

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 892, 152, 934, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 152, 934, 874 is 2.

Therefore, GCD of numbers 892, 152, 934, 874 is 2

Given Input Data is 892, 152, 934, 874

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 934 is 2 x 467

Prime Factorization of 874 is 2 x 19 x 23

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(892, 152) = 33896

GCD(892, 152) = ( 892 x 152 ) / 33896

GCD(892, 152) = 135584 / 33896

GCD(892, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 934

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

LCM(4, 934) = 1868

GCD(4, 934) = ( 4 x 934 ) / 1868

GCD(4, 934) = 3736 / 1868

GCD(4, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 892, 152, 934, 874 is 2

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1. What is the GCD of 892, 152, 934, 874?

GCD of 892, 152, 934, 874 is 2

2. Where do I get the detailed procedure to find GCD of 892, 152, 934, 874?

You can find a detailed procedure to find GCD of 892, 152, 934, 874 on our page.

3. How to find GCD of 892, 152, 934, 874 on a calculator?

You can find the GCD of 892, 152, 934, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.