GCD of 192, 968, 700, 100 Calculator

Given Input numbers are 192, 968, 700, 100

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 192, 968, 700, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 968, 700, 100 is 4.

Therefore, GCD of numbers 192, 968, 700, 100 is 4

Given Input Data is 192, 968, 700, 100

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(192, 968) = 23232

GCD(192, 968) = ( 192 x 968 ) / 23232

GCD(192, 968) = 185856 / 23232

GCD(192, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 700

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

LCM(8, 700) = 1400

GCD(8, 700) = ( 8 x 700 ) / 1400

GCD(8, 700) = 5600 / 1400

GCD(8, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 100

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

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

GCD(4, 100) = 400 / 100

GCD(4, 100) = 4

GCD of 192, 968, 700, 100 is 4

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1. What is the GCD of 192, 968, 700, 100?

GCD of 192, 968, 700, 100 is 4

2. Where do I get the detailed procedure to find GCD of 192, 968, 700, 100?

You can find a detailed procedure to find GCD of 192, 968, 700, 100 on our page.

3. How to find GCD of 192, 968, 700, 100 on a calculator?

You can find the GCD of 192, 968, 700, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.