GCF of 9317/220, 8004/9722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9317/220, 8004/9722 i.e 1/1069420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9317/220, 8004/9722.
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 9317/220,8004/9722?
Given fractions are 9317/220,8004/9722
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 9317/220,8004/9722, numerators are 9317,8004
Denominators are 220,9722
The GCF of 9317,8004 is 1 .
LCM of 220,9722 is 1069420.
The greatest common factor of 9317/220,8004/9722 = [GCF of 9317,8004]/[LCM of 220,9722]= 1/1069420
Therefore, the GCF of 9317/220,8004/9722 is 1/1069420.
To find the highest common factor of 9317,8004, we have to find the factors of both numbers and list the highest common factor.
The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004
The HCF of 9317,8004 is 1.
Lets's calculate GCF of 9317,8004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9317,8004 By Matching Biggest Common Factor Method
Now, list down the factors of 9317
:1,7,11,77,121,847,1331,9317
Now, list down the factors of 8004
:1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004
Greatest Common Factor
We found the factors 9317,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 9317,8004 is 1.
Lets's calculate LCM of 220,9722
| 2 | 220, 9722 |
| 110, 4861 |
∴ So the LCM of the given numbers is 2 x 110 x 4861 = 1069420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1069420
Therefore, the GCF of Fractions 9317/220,8004/9722 is 1/1069420
Least Common Multiple of 220,9722 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 220,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,9722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(220,9722) x common factors =2 x 1 = 2
LCM(220,9722) = ( 220 × 9722 ) / 2
LCM(220,9722) = 2138840 / 2
LCM(220,9722) = 1069420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9317/220, 8004/9722
1. What is the HCF of 9317,8004?
The HCF of 9317,8004 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 9317/220, 8004/9722?
Answer: GCF of Numerators as per given numbers 9317/220, 8004/9722 is
GCF of Numerators i.e. for 9317,8004 is 1
LCM of denominators i.e. for 220,9722 is 1069420.
Thus, GCF of Fractions is 1/1069420.Finally, GCF of Fractions for 9317/220, 8004/9722 is 1/1069420.