GCD of 706, 408, 98, 968 Calculator

Given Input numbers are 706, 408, 98, 968

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 706, 408, 98, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 408, 98, 968 is 2.

Therefore, GCD of numbers 706, 408, 98, 968 is 2

Given Input Data is 706, 408, 98, 968

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(706, 408) = 144024

GCD(706, 408) = ( 706 x 408 ) / 144024

GCD(706, 408) = 288048 / 144024

GCD(706, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 968

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

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

GCD(2, 968) = 1936 / 968

GCD(2, 968) = 2

GCD of 706, 408, 98, 968 is 2

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• GCD of 119, 552, 75, 414

1. What is the GCD of 706, 408, 98, 968?

GCD of 706, 408, 98, 968 is 2

2. Where do I get the detailed procedure to find GCD of 706, 408, 98, 968?

You can find a detailed procedure to find GCD of 706, 408, 98, 968 on our page.

3. How to find GCD of 706, 408, 98, 968 on a calculator?

You can find the GCD of 706, 408, 98, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.