How to Find GCF of 4303/971, 5090/4290?

GCF of 4303/971, 5090/4290

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 4303/971, 5090/4290 i.e 1/4165590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4303/971, 5090/4290.

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 4303/971,5090/4290?

Given fractions are 4303/971,5090/4290

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 4303/971,5090/4290, numerators are 4303,5090

Denominators are 971,4290

The GCF of 4303,5090 is 1 .

LCM of 971,4290 is 4165590.

The greatest common factor of 4303/971,5090/4290 = [GCF of 4303,5090]/[LCM of 971,4290]= 1/4165590

Therefore, the GCF of 4303/971,5090/4290 is 1/4165590.

Greatest Common Factor of 4303,5090

To find the highest common factor of 4303,5090, we have to find the factors of both numbers and list the highest common factor.

The factors of 4303 are 1, 13, 331, 4303

The factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090

The HCF of 4303,5090 is 1.

Lets's calculate GCF of 4303,5090

Greatest Common Factor (GCF) of 4303,5090 By Common Division

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

Greatest Common Factor of 4303,5090 By Matching Biggest Common Factor Method

Now, list down the factors of 4303

1,13,331,4303

Now, list down the factors of 5090

1,2,5,10,509,1018,2545,5090

Greatest Common Factor

We found the factors 4303,5090 . The biggest common factor number is the GCF number.
So the greatest common factor 4303,5090 is 1.

Lets's calculate LCM of 971,4290

Lowest Common Multiple of 971,4290 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4165590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4165590

Therefore, the GCF of Fractions 4303/971,5090/4290 is 1/4165590

Least Common Multiple of 971,4290 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 971,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,4290) = 1

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

GCF(971,4290) x common factors =1 x 1 = 1

LCM(971,4290) = ( 971 × 4290 ) / 1

LCM(971,4290) = 4165590 / 1

LCM(971,4290) = 4165590

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4303/971, 5090/4290

1. What is the HCF of 4303,5090?

The HCF of 4303,5090 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 4303/971, 5090/4290?

Answer: GCF of Numerators as per given numbers 4303/971, 5090/4290 is

GCF of Numerators i.e. for 4303,5090 is 1

LCM of denominators i.e. for 971,4290 is 4165590.

Thus, GCF of Fractions is 1/4165590.Finally, GCF of Fractions for 4303/971, 5090/4290 is 1/4165590.