GCD of 753, 708, 113, 690 Calculator

Given Input numbers are 753, 708, 113, 690

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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

Greatest Common Divisior

We found the divisors of 753, 708, 113, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 708, 113, 690 is 1.

Therefore, GCD of numbers 753, 708, 113, 690 is 1

Given Input Data is 753, 708, 113, 690

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 113 is 113

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

The above numbers do not have any common prime factor. So GCD is 1

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(753, 708) = 177708

GCD(753, 708) = ( 753 x 708 ) / 177708

GCD(753, 708) = 533124 / 177708

GCD(753, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 113

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

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

GCD(3, 113) = 339 / 339

GCD(3, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 753, 708, 113, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 308, 757, 392
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• GCD of 144, 382, 111, 658
• GCD of 191, 621, 702, 280
• GCD of 299, 907, 123, 426

1. What is the GCD of 753, 708, 113, 690?

GCD of 753, 708, 113, 690 is 1

2. Where do I get the detailed procedure to find GCD of 753, 708, 113, 690?

You can find a detailed procedure to find GCD of 753, 708, 113, 690 on our page.

3. How to find GCD of 753, 708, 113, 690 on a calculator?

You can find the GCD of 753, 708, 113, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.