LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 5643/187, 6507/7361

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 5643/187, 6507/7361 i.e 27/80971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5643/187, 6507/7361.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5643/187,6507/7361?

Given fractions are 5643/187,6507/7361

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5643/187,6507/7361, numerators are 5643,6507

Denominators are 187,7361

The GCF of 5643,6507 is 27 .

LCM of 187,7361 is 80971.

The greatest common factor of 5643/187,6507/7361 = [GCF of 5643,6507]/[LCM of 187,7361]= 27/80971

Therefore, the GCF of 5643/187,6507/7361 is 27/80971.

Greatest Common Factor of 5643,6507

To find the highest common factor of 5643,6507, we have to find the factors of both numbers and list the highest common factor.

The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643

The factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507

The HCF of 5643,6507 is 27.

Lets's calculate GCF of 5643,6507

Greatest Common Factor (GCF) of 5643,6507 By Common Division

3 5643, 6507
3 1881, 2169
3 627, 723
209, 241

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 5643,6507 By Matching Biggest Common Factor Method

Greatest Common Factor of 5643,6507 By Matching Biggest Common Factor Method

Now, list down the factors of 5643

:

1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643

Now, list down the factors of 6507

:

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors 5643,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 5643,6507 is 27.


Lets's calculate LCM of 187,7361

Lowest Common Multiple of 187,7361 using Common Division

17 187, 7361
11, 433

∴ So the LCM of the given numbers is 17 x 11 x 433 = 80971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/80971

Therefore, the GCF of Fractions 5643/187,6507/7361 is 27/80971

Least Common Multiple of 187,7361 with GCF Formula

Least Common Multiple of 187,7361 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 187,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,7361) = 17

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

GCF(187,7361) x common factors =17 x 1 = 17

LCM(187,7361) = ( 187 × 7361 ) / 17

LCM(187,7361) = 1376507 / 17

LCM(187,7361) = 80971


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5643/187, 6507/7361

1. What is the HCF of 5643,6507?

The HCF of 5643,6507 is 27

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5643/187, 6507/7361?

Answer: GCF of Numerators as per given numbers 5643/187, 6507/7361 is

GCF of Numerators i.e. for 5643,6507 is 27

LCM of denominators i.e. for 187,7361 is 80971.

Thus, GCF of Fractions is 27/80971.Finally, GCF of Fractions for 5643/187, 6507/7361 is 27/80971.