GCD of 98, 790, 706, 979 Calculator

Given Input numbers are 98, 790, 706, 979

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 98, 790, 706, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 790, 706, 979 is 1.

Therefore, GCD of numbers 98, 790, 706, 979 is 1

Given Input Data is 98, 790, 706, 979

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 706 is 2 x 353

Prime Factorization of 979 is 11 x 89

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(98, 790) = 38710

GCD(98, 790) = ( 98 x 790 ) / 38710

GCD(98, 790) = 77420 / 38710

GCD(98, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 1

GCD of 98, 790, 706, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 128, 853, 562
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• GCD of 20, 277, 886, 185
• GCD of 95, 928, 482, 971
• GCD of 15, 626, 110, 172

1. What is the GCD of 98, 790, 706, 979?

GCD of 98, 790, 706, 979 is 1

2. Where do I get the detailed procedure to find GCD of 98, 790, 706, 979?

You can find a detailed procedure to find GCD of 98, 790, 706, 979 on our page.

3. How to find GCD of 98, 790, 706, 979 on a calculator?

You can find the GCD of 98, 790, 706, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.