GCD of 699, 120, 63, 902 Calculator

Given Input numbers are 699, 120, 63, 902

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 699, 120, 63, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 120, 63, 902 is 1.

Therefore, GCD of numbers 699, 120, 63, 902 is 1

Given Input Data is 699, 120, 63, 902

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 902 is 2 x 11 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(699, 120) = 27960

GCD(699, 120) = ( 699 x 120 ) / 27960

GCD(699, 120) = 83880 / 27960

GCD(699, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 902

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

LCM(3, 902) = 2706

GCD(3, 902) = ( 3 x 902 ) / 2706

GCD(3, 902) = 2706 / 2706

GCD(3, 902) = 1

GCD of 699, 120, 63, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 985, 21, 162
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• GCD of 177, 618, 89, 647
• GCD of 105, 309, 89, 419
• GCD of 648, 197, 22, 152

1. What is the GCD of 699, 120, 63, 902?

GCD of 699, 120, 63, 902 is 1

2. Where do I get the detailed procedure to find GCD of 699, 120, 63, 902?

You can find a detailed procedure to find GCD of 699, 120, 63, 902 on our page.

3. How to find GCD of 699, 120, 63, 902 on a calculator?

You can find the GCD of 699, 120, 63, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.