Greatest Common Factor of 1197/499, 8301/7114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1197/499, 8301/7114

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 1197/499,8301/7114

Given fractions are 1197/499,8301/7114

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 1197,8301

Greatest Common Factor of Numerators i.e. GCF of 1197,8301 is 3 .

LCM of Denominators means LCM of 499,7114 as per the given fractions.

LCM of 499,7114 is 3549886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1197,8301

GCF of Fractions 1197/499,8301/7114 is 3/3549886

3 1197, 8301
399, 2767

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1197,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 1197,8301 By Matching Biggest Common Factor Method

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1,3,7,9,19,21,57,63,133,171,399,1197

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 1197,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 1197,8301 is 3.

Lets's calculate LCM of 499,7114

Given numbers has no common factors except 1. So, there LCM is their product i.e 3549886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3549886

Therefore, the GCF of Fractions 1197/499,8301/7114 is 3/3549886

Least Common Multiple of 499,7114 with GCF Formula

Least Common Multiple of 499,7114 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 499,7114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,7114) = 1

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

GCF(499,7114) x common factors =1 x 1 = 1

LCM(499,7114) = ( 499 × 7114 ) / 1

LCM(499,7114) = 3549886 / 1

LCM(499,7114) = 3549886


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 1197/499, 8301/7114

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 1197/499, 8301/7114?

Answer: GCF of Numerators as per given numbers 1197/499, 8301/7114 is

GCF of Numerators i.e. for 1197,8301 is 3

LCM of denominators i.e. for 499,7114 is 3549886.

Thus, GCF of Fractions is 3/3549886.Finally, GCF of Fractions for 1197/499, 8301/7114 is 3/3549886.