GCD of 100, 786, 772, 114 Calculator

Given Input numbers are 100, 786, 772, 114

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

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 100, 786, 772, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 786, 772, 114 is 2.

Therefore, GCD of numbers 100, 786, 772, 114 is 2

Given Input Data is 100, 786, 772, 114

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

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 114 is 2 x 3 x 19

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(100, 786) = 39300

GCD(100, 786) = ( 100 x 786 ) / 39300

GCD(100, 786) = 78600 / 39300

GCD(100, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 100, 786, 772, 114 is 2

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1. What is the GCD of 100, 786, 772, 114?

GCD of 100, 786, 772, 114 is 2

2. Where do I get the detailed procedure to find GCD of 100, 786, 772, 114?

You can find a detailed procedure to find GCD of 100, 786, 772, 114 on our page.

3. How to find GCD of 100, 786, 772, 114 on a calculator?

You can find the GCD of 100, 786, 772, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.