GCD of 140, 100, 10, 786 Calculator

Given Input numbers are 140, 100, 10, 786

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 786

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

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

Greatest Common Divisior

We found the divisors of 140, 100, 10, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 100, 10, 786 is 2.

Therefore, GCD of numbers 140, 100, 10, 786 is 2

Given Input Data is 140, 100, 10, 786

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 786 is 2 x 3 x 131

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(140, 100) = 700

GCD(140, 100) = ( 140 x 100 ) / 700

GCD(140, 100) = 14000 / 700

GCD(140, 100) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 10

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

LCM(20, 10) = 20

GCD(20, 10) = ( 20 x 10 ) / 20

GCD(20, 10) = 200 / 20

GCD(20, 10) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 786

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

LCM(10, 786) = 3930

GCD(10, 786) = ( 10 x 786 ) / 3930

GCD(10, 786) = 7860 / 3930

GCD(10, 786) = 2

GCD of 140, 100, 10, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 772, 38, 140
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• GCD of 872, 589, 58, 184

1. What is the GCD of 140, 100, 10, 786?

GCD of 140, 100, 10, 786 is 2

2. Where do I get the detailed procedure to find GCD of 140, 100, 10, 786?

You can find a detailed procedure to find GCD of 140, 100, 10, 786 on our page.

3. How to find GCD of 140, 100, 10, 786 on a calculator?

You can find the GCD of 140, 100, 10, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.