Greatest Common Factor of 341/49, 756/5498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/49, 756/5498

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 341/49,756/5498

Given fractions are 341/49,756/5498

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 341,756

Greatest Common Factor of Numerators i.e. GCF of 341,756 is 1 .

LCM of Denominators means LCM of 49,5498 as per the given fractions.

LCM of 49,5498 is 269402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,756

GCF of Fractions 341/49,756/5498 is 1/269402

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

Greatest Common Factor of 341,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,756 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 341,756 . The biggest common factor number is the GCF number.
So the greatest common factor 341,756 is 1.

Lets's calculate LCM of 49,5498

Given numbers has no common factors except 1. So, there LCM is their product i.e 269402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269402

Therefore, the GCF of Fractions 341/49,756/5498 is 1/269402

Least Common Multiple of 49,5498 with GCF Formula

Least Common Multiple of 49,5498 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 49,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,5498) = 1

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

GCF(49,5498) x common factors =1 x 1 = 1

LCM(49,5498) = ( 49 × 5498 ) / 1

LCM(49,5498) = 269402 / 1

LCM(49,5498) = 269402


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 341/49, 756/5498

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 341/49, 756/5498?

Answer: GCF of Numerators as per given numbers 341/49, 756/5498 is

GCF of Numerators i.e. for 341,756 is 1

LCM of denominators i.e. for 49,5498 is 269402.

Thus, GCF of Fractions is 1/269402.Finally, GCF of Fractions for 341/49, 756/5498 is 1/269402.