GCD of 196, 700, 42, 968 Calculator

Given Input numbers are 196, 700, 42, 968

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 196, 700, 42, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 700, 42, 968 is 2.

Therefore, GCD of numbers 196, 700, 42, 968 is 2

Given Input Data is 196, 700, 42, 968

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 42 is 2 x 3 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(196, 700) = 4900

GCD(196, 700) = ( 196 x 700 ) / 4900

GCD(196, 700) = 137200 / 4900

GCD(196, 700) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 42

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

LCM(28, 42) = 84

GCD(28, 42) = ( 28 x 42 ) / 84

GCD(28, 42) = 1176 / 84

GCD(28, 42) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 968

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

LCM(14, 968) = 6776

GCD(14, 968) = ( 14 x 968 ) / 6776

GCD(14, 968) = 13552 / 6776

GCD(14, 968) = 2

GCD of 196, 700, 42, 968 is 2

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1. What is the GCD of 196, 700, 42, 968?

GCD of 196, 700, 42, 968 is 2

2. Where do I get the detailed procedure to find GCD of 196, 700, 42, 968?

You can find a detailed procedure to find GCD of 196, 700, 42, 968 on our page.

3. How to find GCD of 196, 700, 42, 968 on a calculator?

You can find the GCD of 196, 700, 42, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.