Greatest Common Factor of 9712/175, 4563/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9712/175, 4563/991

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 9712/175,4563/991

Given fractions are 9712/175,4563/991

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 9712,4563

Greatest Common Factor of Numerators i.e. GCF of 9712,4563 is 1 .

LCM of Denominators means LCM of 175,991 as per the given fractions.

LCM of 175,991 is 173425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9712,4563

GCF of Fractions 9712/175,4563/991 is 1/173425

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

Greatest Common Factor of 9712,4563 By Matching Biggest Common Factor Method

Greatest Common Factor of 9712,4563 By Matching Biggest Common Factor Method

Factors of 9712

List of positive integer factors of 9712 that divides 9712 without a remainder.

1,2,4,8,16,607,1214,2428,4856,9712

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 9712,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 9712,4563 is 1.

Lets's calculate LCM of 175,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 173425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173425

Therefore, the GCF of Fractions 9712/175,4563/991 is 1/173425

Least Common Multiple of 175,991 with GCF Formula

Least Common Multiple of 175,991 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 175,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,991) = 1

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

GCF(175,991) x common factors =1 x 1 = 1

LCM(175,991) = ( 175 × 991 ) / 1

LCM(175,991) = 173425 / 1

LCM(175,991) = 173425


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 9712/175, 4563/991

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 9712/175, 4563/991?

Answer: GCF of Numerators as per given numbers 9712/175, 4563/991 is

GCF of Numerators i.e. for 9712,4563 is 1

LCM of denominators i.e. for 175,991 is 173425.

Thus, GCF of Fractions is 1/173425.Finally, GCF of Fractions for 9712/175, 4563/991 is 1/173425.