GCF of 8359/285, 9800/6141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8359/285, 9800/6141 i.e 1/583395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8359/285, 9800/6141.
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 8359/285,9800/6141?
Given fractions are 8359/285,9800/6141
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 8359/285,9800/6141, numerators are 8359,9800
Denominators are 285,6141
The GCF of 8359,9800 is 1 .
LCM of 285,6141 is 583395.
The greatest common factor of 8359/285,9800/6141 = [GCF of 8359,9800]/[LCM of 285,6141]= 1/583395
Therefore, the GCF of 8359/285,9800/6141 is 1/583395.
To find the highest common factor of 8359,9800, we have to find the factors of both numbers and list the highest common factor.
The factors of 8359 are 1, 13, 643, 8359
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800
The HCF of 8359,9800 is 1.
Lets's calculate GCF of 8359,9800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8359,9800 By Matching Biggest Common Factor Method
Now, list down the factors of 8359
:1,13,643,8359
Now, list down the factors of 9800
:1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Greatest Common Factor
We found the factors 8359,9800 . The biggest common factor number is the GCF number.
So the greatest common factor 8359,9800 is 1.
Lets's calculate LCM of 285,6141
| 3 | 285, 6141 |
| 95, 2047 |
∴ So the LCM of the given numbers is 3 x 95 x 2047 = 583395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583395
Therefore, the GCF of Fractions 8359/285,9800/6141 is 1/583395
Least Common Multiple of 285,6141 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 285,6141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,6141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,6141) x common factors =3 x 1 = 3
LCM(285,6141) = ( 285 × 6141 ) / 3
LCM(285,6141) = 1750185 / 3
LCM(285,6141) = 583395
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FAQs on GCF of Fractions of 8359/285, 9800/6141
1. What is the HCF of 8359,9800?
The HCF of 8359,9800 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 8359/285, 9800/6141?
Answer: GCF of Numerators as per given numbers 8359/285, 9800/6141 is
GCF of Numerators i.e. for 8359,9800 is 1
LCM of denominators i.e. for 285,6141 is 583395.
Thus, GCF of Fractions is 1/583395.Finally, GCF of Fractions for 8359/285, 9800/6141 is 1/583395.