GCF of 4959/902, 7258/5280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4959/902, 7258/5280 i.e 19/216480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4959/902, 7258/5280.
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 4959/902,7258/5280?
Given fractions are 4959/902,7258/5280
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 4959/902,7258/5280, numerators are 4959,7258
Denominators are 902,5280
The GCF of 4959,7258 is 19 .
LCM of 902,5280 is 216480.
The greatest common factor of 4959/902,7258/5280 = [GCF of 4959,7258]/[LCM of 902,5280]= 19/216480
Therefore, the GCF of 4959/902,7258/5280 is 19/216480.
To find the highest common factor of 4959,7258, we have to find the factors of both numbers and list the highest common factor.
The factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959
The factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258
The HCF of 4959,7258 is 19.
Lets's calculate GCF of 4959,7258
| 19 | 4959, 7258 |
| 261, 382 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 4959,7258 By Matching Biggest Common Factor Method
Now, list down the factors of 4959
:1,3,9,19,29,57,87,171,261,551,1653,4959
Now, list down the factors of 7258
:1,2,19,38,191,382,3629,7258
Greatest Common Factor
We found the factors 4959,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 4959,7258 is 19.
Lets's calculate LCM of 902,5280
| 2 | 902, 5280 |
| 11 | 451, 2640 |
| 41, 240 |
∴ So the LCM of the given numbers is 2 x 11 x 41 x 240 = 216480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/216480
Therefore, the GCF of Fractions 4959/902,7258/5280 is 19/216480
Least Common Multiple of 902,5280 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 902,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,5280) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(902,5280) x common factors =22 x 1 = 22
LCM(902,5280) = ( 902 × 5280 ) / 22
LCM(902,5280) = 4762560 / 22
LCM(902,5280) = 216480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4959/902, 7258/5280
1. What is the HCF of 4959,7258?
The HCF of 4959,7258 is 19
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 4959/902, 7258/5280?
Answer: GCF of Numerators as per given numbers 4959/902, 7258/5280 is
GCF of Numerators i.e. for 4959,7258 is 19
LCM of denominators i.e. for 902,5280 is 216480.
Thus, GCF of Fractions is 19/216480.Finally, GCF of Fractions for 4959/902, 7258/5280 is 19/216480.