GCF of 793/917, 559/541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/917, 559/541 i.e 13/496097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/917, 559/541.
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 793/917,559/541?
Given fractions are 793/917,559/541
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 793/917,559/541, numerators are 793,559
Denominators are 917,541
The GCF of 793,559 is 13 .
LCM of 917,541 is 496097.
The greatest common factor of 793/917,559/541 = [GCF of 793,559]/[LCM of 917,541]= 13/496097
Therefore, the GCF of 793/917,559/541 is 13/496097.
To find the highest common factor of 793,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 559 are 1, 13, 43, 559
The HCF of 793,559 is 13.
Lets's calculate GCF of 793,559
| 13 | 793, 559 |
| 61, 43 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 793,559 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 793,559 . The biggest common factor number is the GCF number.
So the greatest common factor 793,559 is 13.
Lets's calculate LCM of 917,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 496097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/496097
Therefore, the GCF of Fractions 793/917,559/541 is 13/496097
Least Common Multiple of 917,541 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 917,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,541) x common factors =1 x 1 = 1
LCM(917,541) = ( 917 × 541 ) / 1
LCM(917,541) = 496097 / 1
LCM(917,541) = 496097
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FAQs on GCF of Fractions of 793/917, 559/541
1. What is the HCF of 793,559?
The HCF of 793,559 is 13
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 793/917, 559/541?
Answer: GCF of Numerators as per given numbers 793/917, 559/541 is
GCF of Numerators i.e. for 793,559 is 13
LCM of denominators i.e. for 917,541 is 496097.
Thus, GCF of Fractions is 13/496097.Finally, GCF of Fractions for 793/917, 559/541 is 13/496097.