Greatest Common Factor of 4965/667, 5047/7948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4965/667, 5047/7948

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 4965/667,5047/7948

Given fractions are 4965/667,5047/7948

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 4965,5047

Greatest Common Factor of Numerators i.e. GCF of 4965,5047 is 1 .

LCM of Denominators means LCM of 667,7948 as per the given fractions.

LCM of 667,7948 is 5301316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4965,5047

GCF of Fractions 4965/667,5047/7948 is 1/5301316

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

Greatest Common Factor of 4965,5047 By Matching Biggest Common Factor Method

Greatest Common Factor of 4965,5047 By Matching Biggest Common Factor Method

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1,3,5,15,331,993,1655,4965

Factors of 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1,7,49,103,721,5047

Greatest Common Factor

We found the factors 4965,5047 . The biggest common factor number is the GCF number.
So the greatest common factor 4965,5047 is 1.

Lets's calculate LCM of 667,7948

Given numbers has no common factors except 1. So, there LCM is their product i.e 5301316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5301316

Therefore, the GCF of Fractions 4965/667,5047/7948 is 1/5301316

Least Common Multiple of 667,7948 with GCF Formula

Least Common Multiple of 667,7948 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 667,7948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,7948) = 1

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

GCF(667,7948) x common factors =1 x 1 = 1

LCM(667,7948) = ( 667 × 7948 ) / 1

LCM(667,7948) = 5301316 / 1

LCM(667,7948) = 5301316


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 4965/667, 5047/7948

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 4965/667, 5047/7948?

Answer: GCF of Numerators as per given numbers 4965/667, 5047/7948 is

GCF of Numerators i.e. for 4965,5047 is 1

LCM of denominators i.e. for 667,7948 is 5301316.

Thus, GCF of Fractions is 1/5301316.Finally, GCF of Fractions for 4965/667, 5047/7948 is 1/5301316.