GCD of 708, 712, 98, 711 Calculator

Given Input numbers are 708, 712, 98, 711

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 708, 712, 98, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 712, 98, 711 is 1.

Therefore, GCD of numbers 708, 712, 98, 711 is 1

Given Input Data is 708, 712, 98, 711

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 711 is 3 x 3 x 79

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, 712) = 126024

GCD(708, 712) = ( 708 x 712 ) / 126024

GCD(708, 712) = 504096 / 126024

GCD(708, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 98

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

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

GCD(4, 98) = 392 / 196

GCD(4, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 711

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

LCM(2, 711) = 1422

GCD(2, 711) = ( 2 x 711 ) / 1422

GCD(2, 711) = 1422 / 1422

GCD(2, 711) = 1

GCD of 708, 712, 98, 711 is 1

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1. What is the GCD of 708, 712, 98, 711?

GCD of 708, 712, 98, 711 is 1

2. Where do I get the detailed procedure to find GCD of 708, 712, 98, 711?

You can find a detailed procedure to find GCD of 708, 712, 98, 711 on our page.

3. How to find GCD of 708, 712, 98, 711 on a calculator?

You can find the GCD of 708, 712, 98, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.