How to Find GCF of 9793/353, 5947/4021?

GCF of 9793/353, 5947/4021

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 9793/353, 5947/4021 i.e 1/1419413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9793/353, 5947/4021.

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 9793/353,5947/4021?

Given fractions are 9793/353,5947/4021

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 9793/353,5947/4021, numerators are 9793,5947

Denominators are 353,4021

The GCF of 9793,5947 is 1 .

LCM of 353,4021 is 1419413.

The greatest common factor of 9793/353,5947/4021 = [GCF of 9793,5947]/[LCM of 353,4021]= 1/1419413

Therefore, the GCF of 9793/353,5947/4021 is 1/1419413.

Greatest Common Factor of 9793,5947

To find the highest common factor of 9793,5947, we have to find the factors of both numbers and list the highest common factor.

The factors of 9793 are 1, 7, 1399, 9793

The factors of 5947 are 1, 19, 313, 5947

The HCF of 9793,5947 is 1.

Lets's calculate GCF of 9793,5947

Greatest Common Factor (GCF) of 9793,5947 By Common Division

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

Greatest Common Factor of 9793,5947 By Matching Biggest Common Factor Method

Now, list down the factors of 9793

1,7,1399,9793

Now, list down the factors of 5947

1,19,313,5947

Greatest Common Factor

We found the factors 9793,5947 . The biggest common factor number is the GCF number.
So the greatest common factor 9793,5947 is 1.

Lets's calculate LCM of 353,4021

Lowest Common Multiple of 353,4021 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1419413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1419413

Therefore, the GCF of Fractions 9793/353,5947/4021 is 1/1419413

Least Common Multiple of 353,4021 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 353,4021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,4021) = 1

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

GCF(353,4021) x common factors =1 x 1 = 1

LCM(353,4021) = ( 353 × 4021 ) / 1

LCM(353,4021) = 1419413 / 1

LCM(353,4021) = 1419413

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FAQs on GCF of Fractions of 9793/353, 5947/4021

1. What is the HCF of 9793,5947?

The HCF of 9793,5947 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 9793/353, 5947/4021?

Answer: GCF of Numerators as per given numbers 9793/353, 5947/4021 is

GCF of Numerators i.e. for 9793,5947 is 1

LCM of denominators i.e. for 353,4021 is 1419413.

Thus, GCF of Fractions is 1/1419413.Finally, GCF of Fractions for 9793/353, 5947/4021 is 1/1419413.