GCD of 902, 407, 14, 766 Calculator

Given Input numbers are 902, 407, 14, 766

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

Divisors of 902

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

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 902, 407, 14, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 407, 14, 766 is 1.

Therefore, GCD of numbers 902, 407, 14, 766 is 1

Given Input Data is 902, 407, 14, 766

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 407 is 11 x 37

Prime Factorization of 14 is 2 x 7

Prime Factorization of 766 is 2 x 383

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(902, 407) = 33374

GCD(902, 407) = ( 902 x 407 ) / 33374

GCD(902, 407) = 367114 / 33374

GCD(902, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 14

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

LCM(11, 14) = 154

GCD(11, 14) = ( 11 x 14 ) / 154

GCD(11, 14) = 154 / 154

GCD(11, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 902, 407, 14, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 262, 98, 572
• GCD of 601, 157, 88, 776
• GCD of 990, 744, 83, 673
• GCD of 460, 756, 34, 306
• GCD of 247, 965, 17, 452

1. What is the GCD of 902, 407, 14, 766?

GCD of 902, 407, 14, 766 is 1

2. Where do I get the detailed procedure to find GCD of 902, 407, 14, 766?

You can find a detailed procedure to find GCD of 902, 407, 14, 766 on our page.

3. How to find GCD of 902, 407, 14, 766 on a calculator?

You can find the GCD of 902, 407, 14, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.