GCF of 9617/810, 7843/3122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9617/810, 7843/3122 i.e 1/1264410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9617/810, 7843/3122.
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 9617/810,7843/3122?
Given fractions are 9617/810,7843/3122
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 9617/810,7843/3122, numerators are 9617,7843
Denominators are 810,3122
The GCF of 9617,7843 is 1 .
LCM of 810,3122 is 1264410.
The greatest common factor of 9617/810,7843/3122 = [GCF of 9617,7843]/[LCM of 810,3122]= 1/1264410
Therefore, the GCF of 9617/810,7843/3122 is 1/1264410.
To find the highest common factor of 9617,7843, we have to find the factors of both numbers and list the highest common factor.
The factors of 9617 are 1, 59, 163, 9617
The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843
The HCF of 9617,7843 is 1.
Lets's calculate GCF of 9617,7843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9617,7843 By Matching Biggest Common Factor Method
Now, list down the factors of 9617
:1,59,163,9617
Now, list down the factors of 7843
:1,11,23,31,253,341,713,7843
Greatest Common Factor
We found the factors 9617,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 9617,7843 is 1.
Lets's calculate LCM of 810,3122
| 2 | 810, 3122 |
| 405, 1561 |
∴ So the LCM of the given numbers is 2 x 405 x 1561 = 1264410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1264410
Therefore, the GCF of Fractions 9617/810,7843/3122 is 1/1264410
Least Common Multiple of 810,3122 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 810,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,3122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,3122) x common factors =2 x 1 = 2
LCM(810,3122) = ( 810 × 3122 ) / 2
LCM(810,3122) = 2528820 / 2
LCM(810,3122) = 1264410
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FAQs on GCF of Fractions of 9617/810, 7843/3122
1. What is the HCF of 9617,7843?
The HCF of 9617,7843 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 9617/810, 7843/3122?
Answer: GCF of Numerators as per given numbers 9617/810, 7843/3122 is
GCF of Numerators i.e. for 9617,7843 is 1
LCM of denominators i.e. for 810,3122 is 1264410.
Thus, GCF of Fractions is 1/1264410.Finally, GCF of Fractions for 9617/810, 7843/3122 is 1/1264410.