Greatest Common Factor of 417/82, 6344/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 417/82, 6344/245

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 417/82,6344/245

Given fractions are 417/82,6344/245

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 417,6344

Greatest Common Factor of Numerators i.e. GCF of 417,6344 is 1 .

LCM of Denominators means LCM of 82,245 as per the given fractions.

LCM of 82,245 is 20090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 417,6344

GCF of Fractions 417/82,6344/245 is 1/20090

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 417,6344 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,6344 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Greatest Common Factor

We found the factors 417,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 417,6344 is 1.

Lets's calculate LCM of 82,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 20090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20090

Therefore, the GCF of Fractions 417/82,6344/245 is 1/20090

Least Common Multiple of 82,245 with GCF Formula

Least Common Multiple of 82,245 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,245) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,245) x common factors =1 x 1 = 1

LCM(82,245) = ( 82 × 245 ) / 1

LCM(82,245) = 20090 / 1

LCM(82,245) = 20090


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 417/82, 6344/245

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 417/82, 6344/245?

Answer: GCF of Numerators as per given numbers 417/82, 6344/245 is

GCF of Numerators i.e. for 417,6344 is 1

LCM of denominators i.e. for 82,245 is 20090.

Thus, GCF of Fractions is 1/20090.Finally, GCF of Fractions for 417/82, 6344/245 is 1/20090.