GCF of 9391/930, 9014/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9391/930, 9014/560 i.e 1/52080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9391/930, 9014/560.
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 9391/930,9014/560?
Given fractions are 9391/930,9014/560
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 9391/930,9014/560, numerators are 9391,9014
Denominators are 930,560
The GCF of 9391,9014 is 1 .
LCM of 930,560 is 52080.
The greatest common factor of 9391/930,9014/560 = [GCF of 9391,9014]/[LCM of 930,560]= 1/52080
Therefore, the GCF of 9391/930,9014/560 is 1/52080.
To find the highest common factor of 9391,9014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9391 are 1, 9391
The factors of 9014 are 1, 2, 4507, 9014
The HCF of 9391,9014 is 1.
Lets's calculate GCF of 9391,9014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9391,9014 By Matching Biggest Common Factor Method
Now, list down the factors of 9391
:1,9391
Now, list down the factors of 9014
:1,2,4507,9014
Greatest Common Factor
We found the factors 9391,9014 . The biggest common factor number is the GCF number.
So the greatest common factor 9391,9014 is 1.
Lets's calculate LCM of 930,560
| 2 | 930, 560 |
| 5 | 465, 280 |
| 93, 56 |
∴ So the LCM of the given numbers is 2 x 5 x 93 x 56 = 52080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52080
Therefore, the GCF of Fractions 9391/930,9014/560 is 1/52080
Least Common Multiple of 930,560 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 930,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,560) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(930,560) x common factors =10 x 1 = 10
LCM(930,560) = ( 930 × 560 ) / 10
LCM(930,560) = 520800 / 10
LCM(930,560) = 52080
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9391/930, 9014/560
1. What is the HCF of 9391,9014?
The HCF of 9391,9014 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 9391/930, 9014/560?
Answer: GCF of Numerators as per given numbers 9391/930, 9014/560 is
GCF of Numerators i.e. for 9391,9014 is 1
LCM of denominators i.e. for 930,560 is 52080.
Thus, GCF of Fractions is 1/52080.Finally, GCF of Fractions for 9391/930, 9014/560 is 1/52080.