GCF of 9698/367, 9864/7299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9698/367, 9864/7299 i.e 2/2678733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9698/367, 9864/7299.
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 9698/367,9864/7299?
Given fractions are 9698/367,9864/7299
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 9698/367,9864/7299, numerators are 9698,9864
Denominators are 367,7299
The GCF of 9698,9864 is 2 .
LCM of 367,7299 is 2678733.
The greatest common factor of 9698/367,9864/7299 = [GCF of 9698,9864]/[LCM of 367,7299]= 2/2678733
Therefore, the GCF of 9698/367,9864/7299 is 2/2678733.
To find the highest common factor of 9698,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 9698,9864 is 2.
Lets's calculate GCF of 9698,9864
| 2 | 9698, 9864 |
| 4849, 4932 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9698,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 9698,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,9864 is 2.
Lets's calculate LCM of 367,7299
Given numbers has no common factors except 1. So, there LCM is their product i.e 2678733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2678733
Therefore, the GCF of Fractions 9698/367,9864/7299 is 2/2678733
Least Common Multiple of 367,7299 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 367,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,7299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,7299) x common factors =1 x 1 = 1
LCM(367,7299) = ( 367 × 7299 ) / 1
LCM(367,7299) = 2678733 / 1
LCM(367,7299) = 2678733
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9698/367, 9864/7299
1. What is the HCF of 9698,9864?
The HCF of 9698,9864 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 9698/367, 9864/7299?
Answer: GCF of Numerators as per given numbers 9698/367, 9864/7299 is
GCF of Numerators i.e. for 9698,9864 is 2
LCM of denominators i.e. for 367,7299 is 2678733.
Thus, GCF of Fractions is 2/2678733.Finally, GCF of Fractions for 9698/367, 9864/7299 is 2/2678733.