GCD of 946, 158, 74, 864 Calculator

Given Input numbers are 946, 158, 74, 864

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 946, 158, 74, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 158, 74, 864 is 2.

Therefore, GCD of numbers 946, 158, 74, 864 is 2

Given Input Data is 946, 158, 74, 864

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 158 is 2 x 79

Prime Factorization of 74 is 2 x 37

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(946, 158) = 74734

GCD(946, 158) = ( 946 x 158 ) / 74734

GCD(946, 158) = 149468 / 74734

GCD(946, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 946, 158, 74, 864 is 2

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1. What is the GCD of 946, 158, 74, 864?

GCD of 946, 158, 74, 864 is 2

2. Where do I get the detailed procedure to find GCD of 946, 158, 74, 864?

You can find a detailed procedure to find GCD of 946, 158, 74, 864 on our page.

3. How to find GCD of 946, 158, 74, 864 on a calculator?

You can find the GCD of 946, 158, 74, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.