Greatest Common Factor of 5510/28, 6745/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5510/28, 6745/853

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 5510/28,6745/853

Given fractions are 5510/28,6745/853

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 5510,6745

Greatest Common Factor of Numerators i.e. GCF of 5510,6745 is 95 .

LCM of Denominators means LCM of 28,853 as per the given fractions.

LCM of 28,853 is 23884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5510,6745

GCF of Fractions 5510/28,6745/853 is 95/23884

5 5510, 6745
19 1102, 1349
58, 71

∴ So the GCF of the given numbers is 5 x 19 = 95

Greatest Common Factor of 5510,6745 By Matching Biggest Common Factor Method

Greatest Common Factor of 5510,6745 By Matching Biggest Common Factor Method

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

Greatest Common Factor

We found the factors 5510,6745 . The biggest common factor number is the GCF number.
So the greatest common factor 5510,6745 is 95.

Lets's calculate LCM of 28,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 23884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/23884

Therefore, the GCF of Fractions 5510/28,6745/853 is 95/23884

Least Common Multiple of 28,853 with GCF Formula

Least Common Multiple of 28,853 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 28,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,853) = 1

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

GCF(28,853) x common factors =1 x 1 = 1

LCM(28,853) = ( 28 × 853 ) / 1

LCM(28,853) = 23884 / 1

LCM(28,853) = 23884


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 5510/28, 6745/853

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 5510/28, 6745/853?

Answer: GCF of Numerators as per given numbers 5510/28, 6745/853 is

GCF of Numerators i.e. for 5510,6745 is 95

LCM of denominators i.e. for 28,853 is 23884.

Thus, GCF of Fractions is 95/23884.Finally, GCF of Fractions for 5510/28, 6745/853 is 95/23884.