GCD of 688, 166, 134, 962 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 688, 166, 134, 962 i.e. 2 largest integer that divides all the numbers equally.

GCD of 688, 166, 134, 962 is 2

GCD(688, 166, 134, 962) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 688, 166, 134, 962 is 2

GCD(688, 166, 134, 962) = 2

GCD of 688,166,134,962 Calculator

GCDof 688,166,134,962 is 2

Given Input numbers are 688, 166, 134, 962

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 688, 166, 134, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 166, 134, 962 is 2.

Therefore, GCD of numbers 688, 166, 134, 962 is 2

Finding GCD of 688, 166, 134, 962 using Prime Factorization

Given Input Data is 688, 166, 134, 962

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 166 is 2 x 83

Prime Factorization of 134 is 2 x 67

Prime Factorization of 962 is 2 x 13 x 37

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 688, 166, 134, 962 using LCM Formula

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(688, 166) = 57104

GCD(688, 166) = ( 688 x 166 ) / 57104

GCD(688, 166) = 114208 / 57104

GCD(688, 166) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 688, 166, 134, 962 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 688, 166, 134, 962

1. What is the GCD of 688, 166, 134, 962?

GCD of 688, 166, 134, 962 is 2


2. Where do I get the detailed procedure to find GCD of 688, 166, 134, 962?

You can find a detailed procedure to find GCD of 688, 166, 134, 962 on our page.


3. How to find GCD of 688, 166, 134, 962 on a calculator?

You can find the GCD of 688, 166, 134, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.