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 303/52, 461/344

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 303/52, 461/344 i.e 1/4472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/52, 461/344.

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 303/52,461/344?

Given fractions are 303/52,461/344

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 303/52,461/344, numerators are 303,461

Denominators are 52,344

The GCF of 303,461 is 1 .

LCM of 52,344 is 4472.

The greatest common factor of 303/52,461/344 = [GCF of 303,461]/[LCM of 52,344]= 1/4472

Therefore, the GCF of 303/52,461/344 is 1/4472.

Greatest Common Factor of 303,461

To find the highest common factor of 303,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 303 are 1, 3, 101, 303

The factors of 461 are 1, 461

The HCF of 303,461 is 1.

Lets's calculate GCF of 303,461

Greatest Common Factor (GCF) of 303,461 By Common Division

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

Greatest Common Factor of 303,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,461 By Matching Biggest Common Factor Method

Now, list down the factors of 303

:

1,3,101,303

Now, list down the factors of 461

:

1,461

Greatest Common Factor

We found the factors 303,461 . The biggest common factor number is the GCF number.
So the greatest common factor 303,461 is 1.

Lets's calculate LCM of 52,344

Lowest Common Multiple of 52,344 using Common Division

2 52, 344
2 26, 172
13, 86

∴ So the LCM of the given numbers is 2 x 2 x 13 x 86 = 4472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4472

Therefore, the GCF of Fractions 303/52,461/344 is 1/4472

Least Common Multiple of 52,344 with GCF Formula

Least Common Multiple of 52,344 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 52,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,344) = 4

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

GCF(52,344) x common factors =4 x 1 = 4

LCM(52,344) = ( 52 × 344 ) / 4

LCM(52,344) = 17888 / 4

LCM(52,344) = 4472


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 303/52, 461/344

1. What is the HCF of 303,461?

The HCF of 303,461 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 303/52, 461/344?

Answer: GCF of Numerators as per given numbers 303/52, 461/344 is

GCF of Numerators i.e. for 303,461 is 1

LCM of denominators i.e. for 52,344 is 4472.

Thus, GCF of Fractions is 1/4472.Finally, GCF of Fractions for 303/52, 461/344 is 1/4472.