GCF of 9718/489, 1077/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9718/489, 1077/5205 i.e 1/848415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9718/489, 1077/5205.
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 9718/489,1077/5205?
Given fractions are 9718/489,1077/5205
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 9718/489,1077/5205, numerators are 9718,1077
Denominators are 489,5205
The GCF of 9718,1077 is 1 .
LCM of 489,5205 is 848415.
The greatest common factor of 9718/489,1077/5205 = [GCF of 9718,1077]/[LCM of 489,5205]= 1/848415
Therefore, the GCF of 9718/489,1077/5205 is 1/848415.
To find the highest common factor of 9718,1077, we have to find the factors of both numbers and list the highest common factor.
The factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718
The factors of 1077 are 1, 3, 359, 1077
The HCF of 9718,1077 is 1.
Lets's calculate GCF of 9718,1077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9718,1077 By Matching Biggest Common Factor Method
Now, list down the factors of 9718
:1,2,43,86,113,226,4859,9718
Now, list down the factors of 1077
:1,3,359,1077
Greatest Common Factor
We found the factors 9718,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 9718,1077 is 1.
Lets's calculate LCM of 489,5205
| 3 | 489, 5205 |
| 163, 1735 |
∴ So the LCM of the given numbers is 3 x 163 x 1735 = 848415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848415
Therefore, the GCF of Fractions 9718/489,1077/5205 is 1/848415
Least Common Multiple of 489,5205 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 489,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,5205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,5205) x common factors =3 x 1 = 3
LCM(489,5205) = ( 489 × 5205 ) / 3
LCM(489,5205) = 2545245 / 3
LCM(489,5205) = 848415
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FAQs on GCF of Fractions of 9718/489, 1077/5205
1. What is the HCF of 9718,1077?
The HCF of 9718,1077 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 9718/489, 1077/5205?
Answer: GCF of Numerators as per given numbers 9718/489, 1077/5205 is
GCF of Numerators i.e. for 9718,1077 is 1
LCM of denominators i.e. for 489,5205 is 848415.
Thus, GCF of Fractions is 1/848415.Finally, GCF of Fractions for 9718/489, 1077/5205 is 1/848415.