Greatest Common Factor of 1299/49, 1847/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1299/49, 1847/735

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 1299/49,1847/735

Given fractions are 1299/49,1847/735

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 1299,1847

Greatest Common Factor of Numerators i.e. GCF of 1299,1847 is 1 .

LCM of Denominators means LCM of 49,735 as per the given fractions.

LCM of 49,735 is 735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1299,1847

GCF of Fractions 1299/49,1847/735 is 1/735

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

Greatest Common Factor of 1299,1847 By Matching Biggest Common Factor Method

Greatest Common Factor of 1299,1847 By Matching Biggest Common Factor Method

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1,3,433,1299

Factors of 1847

List of positive integer factors of 1847 that divides 1847 without a remainder.

1,1847

Greatest Common Factor

We found the factors 1299,1847 . The biggest common factor number is the GCF number.
So the greatest common factor 1299,1847 is 1.

Lets's calculate LCM of 49,735

7 49, 735
7 7, 105
1, 15

∴ So the LCM of the given numbers is 7 x 7 x 1 x 15 = 735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/735

Therefore, the GCF of Fractions 1299/49,1847/735 is 1/735

Least Common Multiple of 49,735 with GCF Formula

Least Common Multiple of 49,735 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 49,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,735) = 49

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

GCF(49,735) x common factors =49 x 1 = 49

LCM(49,735) = ( 49 × 735 ) / 49

LCM(49,735) = 36015 / 49

LCM(49,735) = 735


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 1299/49, 1847/735

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 1299/49, 1847/735?

Answer: GCF of Numerators as per given numbers 1299/49, 1847/735 is

GCF of Numerators i.e. for 1299,1847 is 1

LCM of denominators i.e. for 49,735 is 735.

Thus, GCF of Fractions is 1/735.Finally, GCF of Fractions for 1299/49, 1847/735 is 1/735.