GCD of 284, 952, 140, 748 Calculator

Given Input numbers are 284, 952, 140, 748

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 284, 952, 140, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 952, 140, 748 is 4.

Therefore, GCD of numbers 284, 952, 140, 748 is 4

Given Input Data is 284, 952, 140, 748

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(284, 952) = 67592

GCD(284, 952) = ( 284 x 952 ) / 67592

GCD(284, 952) = 270368 / 67592

GCD(284, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 140

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

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

GCD(4, 140) = 560 / 140

GCD(4, 140) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 748

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

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

GCD(4, 748) = 2992 / 748

GCD(4, 748) = 4

GCD of 284, 952, 140, 748 is 4

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1. What is the GCD of 284, 952, 140, 748?

GCD of 284, 952, 140, 748 is 4

2. Where do I get the detailed procedure to find GCD of 284, 952, 140, 748?

You can find a detailed procedure to find GCD of 284, 952, 140, 748 on our page.

3. How to find GCD of 284, 952, 140, 748 on a calculator?

You can find the GCD of 284, 952, 140, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.