GCF of 7302/793, 9725/5779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7302/793, 9725/5779 i.e 1/4582747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7302/793, 9725/5779.
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 7302/793,9725/5779?
Given fractions are 7302/793,9725/5779
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 7302/793,9725/5779, numerators are 7302,9725
Denominators are 793,5779
The GCF of 7302,9725 is 1 .
LCM of 793,5779 is 4582747.
The greatest common factor of 7302/793,9725/5779 = [GCF of 7302,9725]/[LCM of 793,5779]= 1/4582747
Therefore, the GCF of 7302/793,9725/5779 is 1/4582747.
To find the highest common factor of 7302,9725, we have to find the factors of both numbers and list the highest common factor.
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The factors of 9725 are 1, 5, 25, 389, 1945, 9725
The HCF of 7302,9725 is 1.
Lets's calculate GCF of 7302,9725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7302,9725 By Matching Biggest Common Factor Method
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Now, list down the factors of 9725
:1,5,25,389,1945,9725
Greatest Common Factor
We found the factors 7302,9725 . The biggest common factor number is the GCF number.
So the greatest common factor 7302,9725 is 1.
Lets's calculate LCM of 793,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 4582747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4582747
Therefore, the GCF of Fractions 7302/793,9725/5779 is 1/4582747
Least Common Multiple of 793,5779 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 793,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,5779) x common factors =1 x 1 = 1
LCM(793,5779) = ( 793 × 5779 ) / 1
LCM(793,5779) = 4582747 / 1
LCM(793,5779) = 4582747
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FAQs on GCF of Fractions of 7302/793, 9725/5779
1. What is the HCF of 7302,9725?
The HCF of 7302,9725 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 7302/793, 9725/5779?
Answer: GCF of Numerators as per given numbers 7302/793, 9725/5779 is
GCF of Numerators i.e. for 7302,9725 is 1
LCM of denominators i.e. for 793,5779 is 4582747.
Thus, GCF of Fractions is 1/4582747.Finally, GCF of Fractions for 7302/793, 9725/5779 is 1/4582747.