GCF of 1159/994, 9797/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1159/994, 9797/594 i.e 1/295218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1159/994, 9797/594.
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 1159/994,9797/594?
Given fractions are 1159/994,9797/594
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 1159/994,9797/594, numerators are 1159,9797
Denominators are 994,594
The GCF of 1159,9797 is 1 .
LCM of 994,594 is 295218.
The greatest common factor of 1159/994,9797/594 = [GCF of 1159,9797]/[LCM of 994,594]= 1/295218
Therefore, the GCF of 1159/994,9797/594 is 1/295218.
To find the highest common factor of 1159,9797, we have to find the factors of both numbers and list the highest common factor.
The factors of 1159 are 1, 19, 61, 1159
The factors of 9797 are 1, 97, 101, 9797
The HCF of 1159,9797 is 1.
Lets's calculate GCF of 1159,9797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1159,9797 By Matching Biggest Common Factor Method
Now, list down the factors of 1159
:1,19,61,1159
Now, list down the factors of 9797
:1,97,101,9797
Greatest Common Factor
We found the factors 1159,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,9797 is 1.
Lets's calculate LCM of 994,594
| 2 | 994, 594 |
| 497, 297 |
∴ So the LCM of the given numbers is 2 x 497 x 297 = 295218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295218
Therefore, the GCF of Fractions 1159/994,9797/594 is 1/295218
Least Common Multiple of 994,594 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 994,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,594) x common factors =2 x 1 = 2
LCM(994,594) = ( 994 × 594 ) / 2
LCM(994,594) = 590436 / 2
LCM(994,594) = 295218
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1159/994, 9797/594
1. What is the HCF of 1159,9797?
The HCF of 1159,9797 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 1159/994, 9797/594?
Answer: GCF of Numerators as per given numbers 1159/994, 9797/594 is
GCF of Numerators i.e. for 1159,9797 is 1
LCM of denominators i.e. for 994,594 is 295218.
Thus, GCF of Fractions is 1/295218.Finally, GCF of Fractions for 1159/994, 9797/594 is 1/295218.