GCD of 690, 722, 752 Calculator

Given Input numbers are 690, 722, 752

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 690, 722, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 722, 752 is 2.

Therefore, GCD of numbers 690, 722, 752 is 2

Given Input Data is 690, 722, 752

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(690, 722) = 249090

GCD(690, 722) = ( 690 x 722 ) / 249090

GCD(690, 722) = 498180 / 249090

GCD(690, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 690, 722, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 950, 928
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• GCD of 991, 297, 507
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1. What is the GCD of 690, 722, 752?

GCD of 690, 722, 752 is 2

2. Where do I get the detailed procedure to find GCD of 690, 722, 752?

You can find a detailed procedure to find GCD of 690, 722, 752 on our page.

3. How to find GCD of 690, 722, 752 on a calculator?

You can find the GCD of 690, 722, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.