GCD of 952, 508, 58, 644 Calculator

Given Input numbers are 952, 508, 58, 644

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

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 952, 508, 58, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 508, 58, 644 is 2.

Therefore, GCD of numbers 952, 508, 58, 644 is 2

Given Input Data is 952, 508, 58, 644

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

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 58 is 2 x 29

Prime Factorization of 644 is 2 x 2 x 7 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(952, 508) = 120904

GCD(952, 508) = ( 952 x 508 ) / 120904

GCD(952, 508) = 483616 / 120904

GCD(952, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 952, 508, 58, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 390, 75, 830
• GCD of 255, 346, 13, 182
• GCD of 197, 925, 32, 592
• GCD of 700, 200, 43, 462
• GCD of 275, 814, 99, 851

1. What is the GCD of 952, 508, 58, 644?

GCD of 952, 508, 58, 644 is 2

2. Where do I get the detailed procedure to find GCD of 952, 508, 58, 644?

You can find a detailed procedure to find GCD of 952, 508, 58, 644 on our page.

3. How to find GCD of 952, 508, 58, 644 on a calculator?

You can find the GCD of 952, 508, 58, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.