Greatest Common Factor of 4948/553, 3114/7729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4948/553, 3114/7729

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 4948/553,3114/7729

Given fractions are 4948/553,3114/7729

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 4948,3114

Greatest Common Factor of Numerators i.e. GCF of 4948,3114 is 2 .

LCM of Denominators means LCM of 553,7729 as per the given fractions.

LCM of 553,7729 is 4274137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4948,3114

GCF of Fractions 4948/553,3114/7729 is 2/4274137

2 4948, 3114
2474, 1557

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4948,3114 By Matching Biggest Common Factor Method

Greatest Common Factor of 4948,3114 By Matching Biggest Common Factor Method

Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1,2,4,1237,2474,4948

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Greatest Common Factor

We found the factors 4948,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 4948,3114 is 2.

Lets's calculate LCM of 553,7729

Given numbers has no common factors except 1. So, there LCM is their product i.e 4274137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4274137

Therefore, the GCF of Fractions 4948/553,3114/7729 is 2/4274137

Least Common Multiple of 553,7729 with GCF Formula

Least Common Multiple of 553,7729 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 553,7729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,7729) = 1

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

GCF(553,7729) x common factors =1 x 1 = 1

LCM(553,7729) = ( 553 × 7729 ) / 1

LCM(553,7729) = 4274137 / 1

LCM(553,7729) = 4274137


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 4948/553, 3114/7729

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 4948/553, 3114/7729?

Answer: GCF of Numerators as per given numbers 4948/553, 3114/7729 is

GCF of Numerators i.e. for 4948,3114 is 2

LCM of denominators i.e. for 553,7729 is 4274137.

Thus, GCF of Fractions is 2/4274137.Finally, GCF of Fractions for 4948/553, 3114/7729 is 2/4274137.