GCD of 994, 698, 568, 952 Calculator

Given Input numbers are 994, 698, 568, 952

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

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 994, 698, 568, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 698, 568, 952 is 2.

Therefore, GCD of numbers 994, 698, 568, 952 is 2

Given Input Data is 994, 698, 568, 952

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 698 is 2 x 349

Prime Factorization of 568 is 2 x 2 x 2 x 71

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(994, 698) = 346906

GCD(994, 698) = ( 994 x 698 ) / 346906

GCD(994, 698) = 693812 / 346906

GCD(994, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 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 994, 698, 568, 952 is 2

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1. What is the GCD of 994, 698, 568, 952?

GCD of 994, 698, 568, 952 is 2

2. Where do I get the detailed procedure to find GCD of 994, 698, 568, 952?

You can find a detailed procedure to find GCD of 994, 698, 568, 952 on our page.

3. How to find GCD of 994, 698, 568, 952 on a calculator?

You can find the GCD of 994, 698, 568, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.