GCF of 5304/514, 9794/9215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5304/514, 9794/9215 i.e 2/4736510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5304/514, 9794/9215.
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 5304/514,9794/9215?
Given fractions are 5304/514,9794/9215
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 5304/514,9794/9215, numerators are 5304,9794
Denominators are 514,9215
The GCF of 5304,9794 is 2 .
LCM of 514,9215 is 4736510.
The greatest common factor of 5304/514,9794/9215 = [GCF of 5304,9794]/[LCM of 514,9215]= 2/4736510
Therefore, the GCF of 5304/514,9794/9215 is 2/4736510.
To find the highest common factor of 5304,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 5304,9794 is 2.
Lets's calculate GCF of 5304,9794
| 2 | 5304, 9794 |
| 2652, 4897 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5304,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 5304,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,9794 is 2.
Lets's calculate LCM of 514,9215
Given numbers has no common factors except 1. So, there LCM is their product i.e 4736510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4736510
Therefore, the GCF of Fractions 5304/514,9794/9215 is 2/4736510
Least Common Multiple of 514,9215 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 514,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9215) x common factors =1 x 1 = 1
LCM(514,9215) = ( 514 × 9215 ) / 1
LCM(514,9215) = 4736510 / 1
LCM(514,9215) = 4736510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5304/514, 9794/9215
1. What is the HCF of 5304,9794?
The HCF of 5304,9794 is 2
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 5304/514, 9794/9215?
Answer: GCF of Numerators as per given numbers 5304/514, 9794/9215 is
GCF of Numerators i.e. for 5304,9794 is 2
LCM of denominators i.e. for 514,9215 is 4736510.
Thus, GCF of Fractions is 2/4736510.Finally, GCF of Fractions for 5304/514, 9794/9215 is 2/4736510.