GCD of 343, 235, 98, 116 Calculator

Given Input numbers are 343, 235, 98, 116

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 343, 235, 98, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 235, 98, 116 is 1.

Therefore, GCD of numbers 343, 235, 98, 116 is 1

Given Input Data is 343, 235, 98, 116

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 235 is 5 x 47

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 116 is 2 x 2 x 29

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(343, 235) = 80605

GCD(343, 235) = ( 343 x 235 ) / 80605

GCD(343, 235) = 80605 / 80605

GCD(343, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 343, 235, 98, 116 is 1

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1. What is the GCD of 343, 235, 98, 116?

GCD of 343, 235, 98, 116 is 1

2. Where do I get the detailed procedure to find GCD of 343, 235, 98, 116?

You can find a detailed procedure to find GCD of 343, 235, 98, 116 on our page.

3. How to find GCD of 343, 235, 98, 116 on a calculator?

You can find the GCD of 343, 235, 98, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.