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 3873/320, 1514/4466

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 3873/320, 1514/4466 i.e 1/714560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3873/320, 1514/4466.

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 3873/320,1514/4466?

Given fractions are 3873/320,1514/4466

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 3873/320,1514/4466, numerators are 3873,1514

Denominators are 320,4466

The GCF of 3873,1514 is 1 .

LCM of 320,4466 is 714560.

The greatest common factor of 3873/320,1514/4466 = [GCF of 3873,1514]/[LCM of 320,4466]= 1/714560

Therefore, the GCF of 3873/320,1514/4466 is 1/714560.

Greatest Common Factor of 3873,1514

To find the highest common factor of 3873,1514, we have to find the factors of both numbers and list the highest common factor.

The factors of 3873 are 1, 3, 1291, 3873

The factors of 1514 are 1, 2, 757, 1514

The HCF of 3873,1514 is 1.

Lets's calculate GCF of 3873,1514

Greatest Common Factor (GCF) of 3873,1514 By Common Division

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

Greatest Common Factor of 3873,1514 By Matching Biggest Common Factor Method

Greatest Common Factor of 3873,1514 By Matching Biggest Common Factor Method

Now, list down the factors of 3873

:

1,3,1291,3873

Now, list down the factors of 1514

:

1,2,757,1514

Greatest Common Factor

We found the factors 3873,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 3873,1514 is 1.

Lets's calculate LCM of 320,4466

Lowest Common Multiple of 320,4466 using Common Division

2 320, 4466
160, 2233

∴ So the LCM of the given numbers is 2 x 160 x 2233 = 714560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714560

Therefore, the GCF of Fractions 3873/320,1514/4466 is 1/714560

Least Common Multiple of 320,4466 with GCF Formula

Least Common Multiple of 320,4466 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 320,4466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,4466) = 2

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

GCF(320,4466) x common factors =2 x 1 = 2

LCM(320,4466) = ( 320 × 4466 ) / 2

LCM(320,4466) = 1429120 / 2

LCM(320,4466) = 714560


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3873/320, 1514/4466

1. What is the HCF of 3873,1514?

The HCF of 3873,1514 is 1

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 3873/320, 1514/4466?

Answer: GCF of Numerators as per given numbers 3873/320, 1514/4466 is

GCF of Numerators i.e. for 3873,1514 is 1

LCM of denominators i.e. for 320,4466 is 714560.

Thus, GCF of Fractions is 1/714560.Finally, GCF of Fractions for 3873/320, 1514/4466 is 1/714560.