Greatest Common Factor of 5518/388, 6107/6977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5518/388, 6107/6977

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 5518/388,6107/6977

Given fractions are 5518/388,6107/6977

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 5518,6107

Greatest Common Factor of Numerators i.e. GCF of 5518,6107 is 31 .

LCM of Denominators means LCM of 388,6977 as per the given fractions.

LCM of 388,6977 is 2707076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5518,6107

GCF of Fractions 5518/388,6107/6977 is 31/2707076

31 5518, 6107
178, 197

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 5518,6107 By Matching Biggest Common Factor Method

Greatest Common Factor of 5518,6107 By Matching Biggest Common Factor Method

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1,2,31,62,89,178,2759,5518

Factors of 6107

List of positive integer factors of 6107 that divides 6107 without a remainder.

1,31,197,6107

Greatest Common Factor

We found the factors 5518,6107 . The biggest common factor number is the GCF number.
So the greatest common factor 5518,6107 is 31.

Lets's calculate LCM of 388,6977

Given numbers has no common factors except 1. So, there LCM is their product i.e 2707076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2707076

Therefore, the GCF of Fractions 5518/388,6107/6977 is 31/2707076

Least Common Multiple of 388,6977 with GCF Formula

Least Common Multiple of 388,6977 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 388,6977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,6977) = 1

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

GCF(388,6977) x common factors =1 x 1 = 1

LCM(388,6977) = ( 388 × 6977 ) / 1

LCM(388,6977) = 2707076 / 1

LCM(388,6977) = 2707076


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 5518/388, 6107/6977

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 5518/388, 6107/6977?

Answer: GCF of Numerators as per given numbers 5518/388, 6107/6977 is

GCF of Numerators i.e. for 5518,6107 is 31

LCM of denominators i.e. for 388,6977 is 2707076.

Thus, GCF of Fractions is 31/2707076.Finally, GCF of Fractions for 5518/388, 6107/6977 is 31/2707076.