GCD of 208, 946, 84, 702 Calculator

Given Input numbers are 208, 946, 84, 702

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 208, 946, 84, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 946, 84, 702 is 2.

Therefore, GCD of numbers 208, 946, 84, 702 is 2

Given Input Data is 208, 946, 84, 702

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(208, 946) = 98384

GCD(208, 946) = ( 208 x 946 ) / 98384

GCD(208, 946) = 196768 / 98384

GCD(208, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 208, 946, 84, 702 is 2

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1. What is the GCD of 208, 946, 84, 702?

GCD of 208, 946, 84, 702 is 2

2. Where do I get the detailed procedure to find GCD of 208, 946, 84, 702?

You can find a detailed procedure to find GCD of 208, 946, 84, 702 on our page.

3. How to find GCD of 208, 946, 84, 702 on a calculator?

You can find the GCD of 208, 946, 84, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.