GCD of 154, 316, 42, 952 Calculator

Given Input numbers are 154, 316, 42, 952

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 154, 316, 42, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 316, 42, 952 is 2.

Therefore, GCD of numbers 154, 316, 42, 952 is 2

Given Input Data is 154, 316, 42, 952

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(154, 316) = 24332

GCD(154, 316) = ( 154 x 316 ) / 24332

GCD(154, 316) = 48664 / 24332

GCD(154, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 154, 316, 42, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 689, 22, 650
• GCD of 220, 747, 79, 811
• GCD of 460, 525, 96, 638
• GCD of 201, 572, 44, 455
• GCD of 942, 988, 19, 185

1. What is the GCD of 154, 316, 42, 952?

GCD of 154, 316, 42, 952 is 2

2. Where do I get the detailed procedure to find GCD of 154, 316, 42, 952?

You can find a detailed procedure to find GCD of 154, 316, 42, 952 on our page.

3. How to find GCD of 154, 316, 42, 952 on a calculator?

You can find the GCD of 154, 316, 42, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.