Greatest Common Factor of 2847/49, 2015/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2847/49, 2015/553

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 2847/49,2015/553

Given fractions are 2847/49,2015/553

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 2847,2015

Greatest Common Factor of Numerators i.e. GCF of 2847,2015 is 13 .

LCM of Denominators means LCM of 49,553 as per the given fractions.

LCM of 49,553 is 3871 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2847,2015

GCF of Fractions 2847/49,2015/553 is 13/3871

13 2847, 2015
219, 155

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2847,2015 By Matching Biggest Common Factor Method

Greatest Common Factor of 2847,2015 By Matching Biggest Common Factor Method

Factors of 2847

List of positive integer factors of 2847 that divides 2847 without a remainder.

1,3,13,39,73,219,949,2847

Factors of 2015

List of positive integer factors of 2015 that divides 2015 without a remainder.

1,5,13,31,65,155,403,2015

Greatest Common Factor

We found the factors 2847,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 2847,2015 is 13.

Lets's calculate LCM of 49,553

7 49, 553
7, 79

∴ So the LCM of the given numbers is 7 x 7 x 79 = 3871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3871

Therefore, the GCF of Fractions 2847/49,2015/553 is 13/3871

Least Common Multiple of 49,553 with GCF Formula

Least Common Multiple of 49,553 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 49,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,553) = 7

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

GCF(49,553) x common factors =7 x 1 = 7

LCM(49,553) = ( 49 × 553 ) / 7

LCM(49,553) = 27097 / 7

LCM(49,553) = 3871


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 2847/49, 2015/553

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 2847/49, 2015/553?

Answer: GCF of Numerators as per given numbers 2847/49, 2015/553 is

GCF of Numerators i.e. for 2847,2015 is 13

LCM of denominators i.e. for 49,553 is 3871.

Thus, GCF of Fractions is 13/3871.Finally, GCF of Fractions for 2847/49, 2015/553 is 13/3871.