GCD of 292, 390, 98, 310 Calculator

Given Input numbers are 292, 390, 98, 310

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 292, 390, 98, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 390, 98, 310 is 2.

Therefore, GCD of numbers 292, 390, 98, 310 is 2

Given Input Data is 292, 390, 98, 310

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 310 is 2 x 5 x 31

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(292, 390) = 56940

GCD(292, 390) = ( 292 x 390 ) / 56940

GCD(292, 390) = 113880 / 56940

GCD(292, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 292, 390, 98, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 201, 17, 225
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• GCD of 263, 107, 45, 314
• GCD of 924, 160, 35, 409

1. What is the GCD of 292, 390, 98, 310?

GCD of 292, 390, 98, 310 is 2

2. Where do I get the detailed procedure to find GCD of 292, 390, 98, 310?

You can find a detailed procedure to find GCD of 292, 390, 98, 310 on our page.

3. How to find GCD of 292, 390, 98, 310 on a calculator?

You can find the GCD of 292, 390, 98, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.