GCD of 140, 714, 86, 990 Calculator

Given Input numbers are 140, 714, 86, 990

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 140, 714, 86, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 714, 86, 990 is 2.

Therefore, GCD of numbers 140, 714, 86, 990 is 2

Given Input Data is 140, 714, 86, 990

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 714 is 2 x 3 x 7 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(140, 714) = 7140

GCD(140, 714) = ( 140 x 714 ) / 7140

GCD(140, 714) = 99960 / 7140

GCD(140, 714) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 86

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

LCM(14, 86) = 602

GCD(14, 86) = ( 14 x 86 ) / 602

GCD(14, 86) = 1204 / 602

GCD(14, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 140, 714, 86, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 240, 83, 383
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• GCD of 436, 674, 34, 437

1. What is the GCD of 140, 714, 86, 990?

GCD of 140, 714, 86, 990 is 2

2. Where do I get the detailed procedure to find GCD of 140, 714, 86, 990?

You can find a detailed procedure to find GCD of 140, 714, 86, 990 on our page.

3. How to find GCD of 140, 714, 86, 990 on a calculator?

You can find the GCD of 140, 714, 86, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.