Greatest Common Factor of 4967/762, 5847/8663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4967/762, 5847/8663

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 4967/762,5847/8663

Given fractions are 4967/762,5847/8663

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 4967,5847

Greatest Common Factor of Numerators i.e. GCF of 4967,5847 is 1 .

LCM of Denominators means LCM of 762,8663 as per the given fractions.

LCM of 762,8663 is 6601206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4967,5847

GCF of Fractions 4967/762,5847/8663 is 1/6601206

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

Greatest Common Factor of 4967,5847 By Matching Biggest Common Factor Method

Greatest Common Factor of 4967,5847 By Matching Biggest Common Factor Method

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1,4967

Factors of 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1,3,1949,5847

Greatest Common Factor

We found the factors 4967,5847 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,5847 is 1.


Lets's calculate LCM of 762,8663

Given numbers has no common factors except 1. So, there LCM is their product i.e 6601206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6601206

Therefore, the GCF of Fractions 4967/762,5847/8663 is 1/6601206

Least Common Multiple of 762,8663 with GCF Formula

Least Common Multiple of 762,8663 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 762,8663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,8663) = 1

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

GCF(762,8663) x common factors =1 x 1 = 1

LCM(762,8663) = ( 762 × 8663 ) / 1

LCM(762,8663) = 6601206 / 1

LCM(762,8663) = 6601206


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4967/762, 5847/8663

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 4967/762, 5847/8663?

Answer: GCF of Numerators as per given numbers 4967/762, 5847/8663 is

GCF of Numerators i.e. for 4967,5847 is 1

LCM of denominators i.e. for 762,8663 is 6601206.

Thus, GCF of Fractions is 1/6601206.Finally, GCF of Fractions for 4967/762, 5847/8663 is 1/6601206.