GCD of 688, 152, 10, 764 Calculator

Given Input numbers are 688, 152, 10, 764

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 688, 152, 10, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 152, 10, 764 is 2.

Therefore, GCD of numbers 688, 152, 10, 764 is 2

Given Input Data is 688, 152, 10, 764

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 764 is 2 x 2 x 191

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(688, 152) = 13072

GCD(688, 152) = ( 688 x 152 ) / 13072

GCD(688, 152) = 104576 / 13072

GCD(688, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 10

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

LCM(8, 10) = 40

GCD(8, 10) = ( 8 x 10 ) / 40

GCD(8, 10) = 80 / 40

GCD(8, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 688, 152, 10, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 226, 98, 788
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• GCD of 646, 420, 71, 191

1. What is the GCD of 688, 152, 10, 764?

GCD of 688, 152, 10, 764 is 2

2. Where do I get the detailed procedure to find GCD of 688, 152, 10, 764?

You can find a detailed procedure to find GCD of 688, 152, 10, 764 on our page.

3. How to find GCD of 688, 152, 10, 764 on a calculator?

You can find the GCD of 688, 152, 10, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.