GCD of 98, 798, 346, 764 Calculator

Given Input numbers are 98, 798, 346, 764

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 98, 798, 346, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 798, 346, 764 is 2.

Therefore, GCD of numbers 98, 798, 346, 764 is 2

Given Input Data is 98, 798, 346, 764

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 346 is 2 x 173

Prime Factorization of 764 is 2 x 2 x 191

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(98, 798) = 5586

GCD(98, 798) = ( 98 x 798 ) / 5586

GCD(98, 798) = 78204 / 5586

GCD(98, 798) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 346

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

LCM(14, 346) = 2422

GCD(14, 346) = ( 14 x 346 ) / 2422

GCD(14, 346) = 4844 / 2422

GCD(14, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 98, 798, 346, 764 is 2

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• GCD of 65, 146, 471, 936
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1. What is the GCD of 98, 798, 346, 764?

GCD of 98, 798, 346, 764 is 2

2. Where do I get the detailed procedure to find GCD of 98, 798, 346, 764?

You can find a detailed procedure to find GCD of 98, 798, 346, 764 on our page.

3. How to find GCD of 98, 798, 346, 764 on a calculator?

You can find the GCD of 98, 798, 346, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.