GCD of 708, 501, 392, 697 Calculator

Given Input numbers are 708, 501, 392, 697

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

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 708, 501, 392, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 501, 392, 697 is 1.

Therefore, GCD of numbers 708, 501, 392, 697 is 1

Given Input Data is 708, 501, 392, 697

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

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 697 is 17 x 41

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(708, 501) = 118236

GCD(708, 501) = ( 708 x 501 ) / 118236

GCD(708, 501) = 354708 / 118236

GCD(708, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 392

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

LCM(3, 392) = 1176

GCD(3, 392) = ( 3 x 392 ) / 1176

GCD(3, 392) = 1176 / 1176

GCD(3, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 708, 501, 392, 697 is 1

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• GCD of 464, 600, 780, 150
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• GCD of 903, 781, 499, 954

1. What is the GCD of 708, 501, 392, 697?

GCD of 708, 501, 392, 697 is 1

2. Where do I get the detailed procedure to find GCD of 708, 501, 392, 697?

You can find a detailed procedure to find GCD of 708, 501, 392, 697 on our page.

3. How to find GCD of 708, 501, 392, 697 on a calculator?

You can find the GCD of 708, 501, 392, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.