Greatest Common Factor of 1191/653, 3451/2499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1191/653, 3451/2499

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 1191/653,3451/2499

Given fractions are 1191/653,3451/2499

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 1191,3451

Greatest Common Factor of Numerators i.e. GCF of 1191,3451 is 1 .

LCM of Denominators means LCM of 653,2499 as per the given fractions.

LCM of 653,2499 is 1631847 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1191,3451

GCF of Fractions 1191/653,3451/2499 is 1/1631847

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

Greatest Common Factor of 1191,3451 By Matching Biggest Common Factor Method

Greatest Common Factor of 1191,3451 By Matching Biggest Common Factor Method

Factors of 1191

List of positive integer factors of 1191 that divides 1191 without a remainder.

1,3,397,1191

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1,7,17,29,119,203,493,3451

Greatest Common Factor

We found the factors 1191,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 1191,3451 is 1.

Lets's calculate LCM of 653,2499

Given numbers has no common factors except 1. So, there LCM is their product i.e 1631847

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1631847

Therefore, the GCF of Fractions 1191/653,3451/2499 is 1/1631847

Least Common Multiple of 653,2499 with GCF Formula

Least Common Multiple of 653,2499 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 653,2499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,2499) = 1

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

GCF(653,2499) x common factors =1 x 1 = 1

LCM(653,2499) = ( 653 × 2499 ) / 1

LCM(653,2499) = 1631847 / 1

LCM(653,2499) = 1631847


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 1191/653, 3451/2499

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 1191/653, 3451/2499?

Answer: GCF of Numerators as per given numbers 1191/653, 3451/2499 is

GCF of Numerators i.e. for 1191,3451 is 1

LCM of denominators i.e. for 653,2499 is 1631847.

Thus, GCF of Fractions is 1/1631847.Finally, GCF of Fractions for 1191/653, 3451/2499 is 1/1631847.