GCD of 970, 110, 30, 498 Calculator

Given Input numbers are 970, 110, 30, 498

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 970, 110, 30, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 110, 30, 498 is 2.

Therefore, GCD of numbers 970, 110, 30, 498 is 2

Given Input Data is 970, 110, 30, 498

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 498 is 2 x 3 x 83

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(970, 110) = 10670

GCD(970, 110) = ( 970 x 110 ) / 10670

GCD(970, 110) = 106700 / 10670

GCD(970, 110) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 30

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

LCM(10, 30) = 30

GCD(10, 30) = ( 10 x 30 ) / 30

GCD(10, 30) = 300 / 30

GCD(10, 30) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 498

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

LCM(10, 498) = 2490

GCD(10, 498) = ( 10 x 498 ) / 2490

GCD(10, 498) = 4980 / 2490

GCD(10, 498) = 2

GCD of 970, 110, 30, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 135, 85, 724
• GCD of 960, 731, 36, 862
• GCD of 572, 249, 54, 680
• GCD of 186, 494, 99, 842
• GCD of 907, 467, 18, 103

1. What is the GCD of 970, 110, 30, 498?

GCD of 970, 110, 30, 498 is 2

2. Where do I get the detailed procedure to find GCD of 970, 110, 30, 498?

You can find a detailed procedure to find GCD of 970, 110, 30, 498 on our page.

3. How to find GCD of 970, 110, 30, 498 on a calculator?

You can find the GCD of 970, 110, 30, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.