GCD of 392, 152, 146, 976 Calculator

Given Input numbers are 392, 152, 146, 976

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 392, 152, 146, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 152, 146, 976 is 2.

Therefore, GCD of numbers 392, 152, 146, 976 is 2

Given Input Data is 392, 152, 146, 976

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(392, 152) = 7448

GCD(392, 152) = ( 392 x 152 ) / 7448

GCD(392, 152) = 59584 / 7448

GCD(392, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 146

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

LCM(8, 146) = 584

GCD(8, 146) = ( 8 x 146 ) / 584

GCD(8, 146) = 1168 / 584

GCD(8, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

GCD of 392, 152, 146, 976 is 2

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1. What is the GCD of 392, 152, 146, 976?

GCD of 392, 152, 146, 976 is 2

2. Where do I get the detailed procedure to find GCD of 392, 152, 146, 976?

You can find a detailed procedure to find GCD of 392, 152, 146, 976 on our page.

3. How to find GCD of 392, 152, 146, 976 on a calculator?

You can find the GCD of 392, 152, 146, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.