GCD of 952, 832, 342, 574 Calculator

Given Input numbers are 952, 832, 342, 574

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 952, 832, 342, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 832, 342, 574 is 2.

Therefore, GCD of numbers 952, 832, 342, 574 is 2

Given Input Data is 952, 832, 342, 574

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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 574 is 2 x 7 x 41

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, 832) = 99008

GCD(952, 832) = ( 952 x 832 ) / 99008

GCD(952, 832) = 792064 / 99008

GCD(952, 832) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 342

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

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

GCD(8, 342) = 2736 / 1368

GCD(8, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 952, 832, 342, 574 is 2

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• GCD of 925, 904, 101, 928
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1. What is the GCD of 952, 832, 342, 574?

GCD of 952, 832, 342, 574 is 2

2. Where do I get the detailed procedure to find GCD of 952, 832, 342, 574?

You can find a detailed procedure to find GCD of 952, 832, 342, 574 on our page.

3. How to find GCD of 952, 832, 342, 574 on a calculator?

You can find the GCD of 952, 832, 342, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.