Greatest Common Factor of 6010/48, 4971/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6010/48, 4971/704

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 6010/48,4971/704

Given fractions are 6010/48,4971/704

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 6010,4971

Greatest Common Factor of Numerators i.e. GCF of 6010,4971 is 1 .

LCM of Denominators means LCM of 48,704 as per the given fractions.

LCM of 48,704 is 2112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6010,4971

GCF of Fractions 6010/48,4971/704 is 1/2112

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

Greatest Common Factor of 6010,4971 By Matching Biggest Common Factor Method

Greatest Common Factor of 6010,4971 By Matching Biggest Common Factor Method

Factors of 6010

List of positive integer factors of 6010 that divides 6010 without a remainder.

1,2,5,10,601,1202,3005,6010

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1,3,1657,4971

Greatest Common Factor

We found the factors 6010,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 6010,4971 is 1.

Lets's calculate LCM of 48,704

2 48, 704
2 24, 352
2 12, 176
2 6, 88
3, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 44 = 2112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112

Therefore, the GCF of Fractions 6010/48,4971/704 is 1/2112

Least Common Multiple of 48,704 with GCF Formula

Least Common Multiple of 48,704 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 48,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,704) = 16

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

GCF(48,704) x common factors =16 x 1 = 16

LCM(48,704) = ( 48 × 704 ) / 16

LCM(48,704) = 33792 / 16

LCM(48,704) = 2112


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 6010/48, 4971/704

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 6010/48, 4971/704?

Answer: GCF of Numerators as per given numbers 6010/48, 4971/704 is

GCF of Numerators i.e. for 6010,4971 is 1

LCM of denominators i.e. for 48,704 is 2112.

Thus, GCF of Fractions is 1/2112.Finally, GCF of Fractions for 6010/48, 4971/704 is 1/2112.