GCD of 188, 100, 154, 700 Calculator

Given Input numbers are 188, 100, 154, 700

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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

Greatest Common Divisior

We found the divisors of 188, 100, 154, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 100, 154, 700 is 2.

Therefore, GCD of numbers 188, 100, 154, 700 is 2

Given Input Data is 188, 100, 154, 700

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

Prime Factorization of 188 is 2 x 2 x 47

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

Prime Factorization of 154 is 2 x 7 x 11

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

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(188, 100) = 4700

GCD(188, 100) = ( 188 x 100 ) / 4700

GCD(188, 100) = 18800 / 4700

GCD(188, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 154

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

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

GCD(4, 154) = 616 / 308

GCD(4, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 188, 100, 154, 700 is 2

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1. What is the GCD of 188, 100, 154, 700?

GCD of 188, 100, 154, 700 is 2

2. Where do I get the detailed procedure to find GCD of 188, 100, 154, 700?

You can find a detailed procedure to find GCD of 188, 100, 154, 700 on our page.

3. How to find GCD of 188, 100, 154, 700 on a calculator?

You can find the GCD of 188, 100, 154, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.