Greatest Common Factor of 4696/97, 7472/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4696/97, 7472/983

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 4696/97,7472/983

Given fractions are 4696/97,7472/983

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 4696,7472

Greatest Common Factor of Numerators i.e. GCF of 4696,7472 is 8 .

LCM of Denominators means LCM of 97,983 as per the given fractions.

LCM of 97,983 is 95351 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4696,7472

GCF of Fractions 4696/97,7472/983 is 8/95351

2 4696, 7472
2 2348, 3736
2 1174, 1868
587, 934

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4696,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 4696,7472 By Matching Biggest Common Factor Method

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 4696,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,7472 is 8.

Lets's calculate LCM of 97,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 95351

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/95351

Therefore, the GCF of Fractions 4696/97,7472/983 is 8/95351

Least Common Multiple of 97,983 with GCF Formula

Least Common Multiple of 97,983 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 97,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,983) = 1

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

GCF(97,983) x common factors =1 x 1 = 1

LCM(97,983) = ( 97 × 983 ) / 1

LCM(97,983) = 95351 / 1

LCM(97,983) = 95351


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 4696/97, 7472/983

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 4696/97, 7472/983?

Answer: GCF of Numerators as per given numbers 4696/97, 7472/983 is

GCF of Numerators i.e. for 4696,7472 is 8

LCM of denominators i.e. for 97,983 is 95351.

Thus, GCF of Fractions is 8/95351.Finally, GCF of Fractions for 4696/97, 7472/983 is 8/95351.