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 1371/911, 4881/2652

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 1371/911, 4881/2652 i.e 3/2415972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1371/911, 4881/2652.

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 1371/911,4881/2652?

Given fractions are 1371/911,4881/2652

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 1371/911,4881/2652, numerators are 1371,4881

Denominators are 911,2652

The GCF of 1371,4881 is 3 .

LCM of 911,2652 is 2415972.

The greatest common factor of 1371/911,4881/2652 = [GCF of 1371,4881]/[LCM of 911,2652]= 3/2415972

Therefore, the GCF of 1371/911,4881/2652 is 3/2415972.

Greatest Common Factor of 1371,4881

To find the highest common factor of 1371,4881, we have to find the factors of both numbers and list the highest common factor.

The factors of 1371 are 1, 3, 457, 1371

The factors of 4881 are 1, 3, 1627, 4881

The HCF of 1371,4881 is 3.

Lets's calculate GCF of 1371,4881

Greatest Common Factor (GCF) of 1371,4881 By Common Division

3 1371, 4881
457, 1627

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

Greatest Common Factor of 1371,4881 By Matching Biggest Common Factor Method

Greatest Common Factor of 1371,4881 By Matching Biggest Common Factor Method

Now, list down the factors of 1371

:

1,3,457,1371

Now, list down the factors of 4881

:

1,3,1627,4881

Greatest Common Factor

We found the factors 1371,4881 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,4881 is 3.

Lets's calculate LCM of 911,2652

Lowest Common Multiple of 911,2652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2415972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2415972

Therefore, the GCF of Fractions 1371/911,4881/2652 is 3/2415972

Least Common Multiple of 911,2652 with GCF Formula

Least Common Multiple of 911,2652 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 911,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,2652) = 1

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

GCF(911,2652) x common factors =1 x 1 = 1

LCM(911,2652) = ( 911 × 2652 ) / 1

LCM(911,2652) = 2415972 / 1

LCM(911,2652) = 2415972


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1371/911, 4881/2652

1. What is the HCF of 1371,4881?

The HCF of 1371,4881 is 3

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 1371/911, 4881/2652?

Answer: GCF of Numerators as per given numbers 1371/911, 4881/2652 is

GCF of Numerators i.e. for 1371,4881 is 3

LCM of denominators i.e. for 911,2652 is 2415972.

Thus, GCF of Fractions is 3/2415972.Finally, GCF of Fractions for 1371/911, 4881/2652 is 3/2415972.