GCF of 5359/696, 9317/4720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5359/696, 9317/4720 i.e 1/410640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5359/696, 9317/4720.
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 5359/696,9317/4720?
Given fractions are 5359/696,9317/4720
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 5359/696,9317/4720, numerators are 5359,9317
Denominators are 696,4720
The GCF of 5359,9317 is 1 .
LCM of 696,4720 is 410640.
The greatest common factor of 5359/696,9317/4720 = [GCF of 5359,9317]/[LCM of 696,4720]= 1/410640
Therefore, the GCF of 5359/696,9317/4720 is 1/410640.
To find the highest common factor of 5359,9317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5359 are 1, 23, 233, 5359
The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317
The HCF of 5359,9317 is 1.
Lets's calculate GCF of 5359,9317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5359,9317 By Matching Biggest Common Factor Method
Now, list down the factors of 5359
:1,23,233,5359
Now, list down the factors of 9317
:1,7,11,77,121,847,1331,9317
Greatest Common Factor
We found the factors 5359,9317 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,9317 is 1.
Lets's calculate LCM of 696,4720
| 2 | 696, 4720 |
| 2 | 348, 2360 |
| 2 | 174, 1180 |
| 87, 590 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 590 = 410640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410640
Therefore, the GCF of Fractions 5359/696,9317/4720 is 1/410640
Least Common Multiple of 696,4720 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 696,4720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,4720) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(696,4720) x common factors =8 x 1 = 8
LCM(696,4720) = ( 696 × 4720 ) / 8
LCM(696,4720) = 3285120 / 8
LCM(696,4720) = 410640
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FAQs on GCF of Fractions of 5359/696, 9317/4720
1. What is the HCF of 5359,9317?
The HCF of 5359,9317 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 5359/696, 9317/4720?
Answer: GCF of Numerators as per given numbers 5359/696, 9317/4720 is
GCF of Numerators i.e. for 5359,9317 is 1
LCM of denominators i.e. for 696,4720 is 410640.
Thus, GCF of Fractions is 1/410640.Finally, GCF of Fractions for 5359/696, 9317/4720 is 1/410640.