Greatest Common Factor of 3419/46, 5273/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3419/46, 5273/197

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 3419/46,5273/197

Given fractions are 3419/46,5273/197

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 3419,5273

Greatest Common Factor of Numerators i.e. GCF of 3419,5273 is 1 .

LCM of Denominators means LCM of 46,197 as per the given fractions.

LCM of 46,197 is 9062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3419,5273

GCF of Fractions 3419/46,5273/197 is 1/9062

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

Greatest Common Factor of 3419,5273 By Matching Biggest Common Factor Method

Greatest Common Factor of 3419,5273 By Matching Biggest Common Factor Method

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1,13,263,3419

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1,5273

Greatest Common Factor

We found the factors 3419,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,5273 is 1.

Lets's calculate LCM of 46,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 9062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9062

Therefore, the GCF of Fractions 3419/46,5273/197 is 1/9062

Least Common Multiple of 46,197 with GCF Formula

Least Common Multiple of 46,197 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 46,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,197) = 1

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

GCF(46,197) x common factors =1 x 1 = 1

LCM(46,197) = ( 46 × 197 ) / 1

LCM(46,197) = 9062 / 1

LCM(46,197) = 9062


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 3419/46, 5273/197

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 3419/46, 5273/197?

Answer: GCF of Numerators as per given numbers 3419/46, 5273/197 is

GCF of Numerators i.e. for 3419,5273 is 1

LCM of denominators i.e. for 46,197 is 9062.

Thus, GCF of Fractions is 1/9062.Finally, GCF of Fractions for 3419/46, 5273/197 is 1/9062.