How to Find GCF of 479/332, 1916/5083?

GCF of 479/332, 1916/5083

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 479/332, 1916/5083 i.e 479/1687556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/332, 1916/5083.

Enter two or more fractions separated by "commas"

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

What is the GCF of 479/332,1916/5083?

Given fractions are 479/332,1916/5083

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 479/332,1916/5083, numerators are 479,1916

Denominators are 332,5083

The GCF of 479,1916 is 479 .

LCM of 332,5083 is 1687556.

The greatest common factor of 479/332,1916/5083 = [GCF of 479,1916]/[LCM of 332,5083]= 479/1687556

Therefore, the GCF of 479/332,1916/5083 is 479/1687556.

Greatest Common Factor of 479,1916

To find the highest common factor of 479,1916, we have to find the factors of both numbers and list the highest common factor.

The factors of 479 are 1, 479

The factors of 1916 are 1, 2, 4, 479, 958, 1916

The HCF of 479,1916 is 479.

Lets's calculate GCF of 479,1916

Greatest Common Factor (GCF) of 479,1916 By Common Division

479	479, 1916
	1, 4

∴ So the GCF of the given numbers is 479 = 479

Greatest Common Factor of 479,1916 By Matching Biggest Common Factor Method

Now, list down the factors of 479

1,479

Now, list down the factors of 1916

1,2,4,479,958,1916

Greatest Common Factor

We found the factors 479,1916 . The biggest common factor number is the GCF number.
So the greatest common factor 479,1916 is 479.

Lets's calculate LCM of 332,5083

Lowest Common Multiple of 332,5083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1687556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 479/1687556

Therefore, the GCF of Fractions 479/332,1916/5083 is 479/1687556

Least Common Multiple of 332,5083 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 332,5083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,5083) = 1

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

GCF(332,5083) x common factors =1 x 1 = 1

LCM(332,5083) = ( 332 × 5083 ) / 1

LCM(332,5083) = 1687556 / 1

LCM(332,5083) = 1687556

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 479/332, 1916/5083

1. What is the HCF of 479,1916?

The HCF of 479,1916 is 479

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 479/332, 1916/5083?

Answer: GCF of Numerators as per given numbers 479/332, 1916/5083 is

GCF of Numerators i.e. for 479,1916 is 479

LCM of denominators i.e. for 332,5083 is 1687556.

Thus, GCF of Fractions is 479/1687556.Finally, GCF of Fractions for 479/332, 1916/5083 is 479/1687556.