GCD of 498, 102, 14, 770 Calculator

Given Input numbers are 498, 102, 14, 770

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 14

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

1, 2, 7, 14

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 498, 102, 14, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 102, 14, 770 is 2.

Therefore, GCD of numbers 498, 102, 14, 770 is 2

Given Input Data is 498, 102, 14, 770

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 770 is 2 x 5 x 7 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(498, 102) = 8466

GCD(498, 102) = ( 498 x 102 ) / 8466

GCD(498, 102) = 50796 / 8466

GCD(498, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 498, 102, 14, 770 is 2

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1. What is the GCD of 498, 102, 14, 770?

GCD of 498, 102, 14, 770 is 2

2. Where do I get the detailed procedure to find GCD of 498, 102, 14, 770?

You can find a detailed procedure to find GCD of 498, 102, 14, 770 on our page.

3. How to find GCD of 498, 102, 14, 770 on a calculator?

You can find the GCD of 498, 102, 14, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.