GCF of 6639/198, 9188/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6639/198, 9188/304 i.e 1/30096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6639/198, 9188/304.
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 6639/198,9188/304?
Given fractions are 6639/198,9188/304
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 6639/198,9188/304, numerators are 6639,9188
Denominators are 198,304
The GCF of 6639,9188 is 1 .
LCM of 198,304 is 30096.
The greatest common factor of 6639/198,9188/304 = [GCF of 6639,9188]/[LCM of 198,304]= 1/30096
Therefore, the GCF of 6639/198,9188/304 is 1/30096.
To find the highest common factor of 6639,9188, we have to find the factors of both numbers and list the highest common factor.
The factors of 6639 are 1, 3, 2213, 6639
The factors of 9188 are 1, 2, 4, 2297, 4594, 9188
The HCF of 6639,9188 is 1.
Lets's calculate GCF of 6639,9188
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6639,9188 By Matching Biggest Common Factor Method
Now, list down the factors of 6639
:1,3,2213,6639
Now, list down the factors of 9188
:1,2,4,2297,4594,9188
Greatest Common Factor
We found the factors 6639,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 6639,9188 is 1.
Lets's calculate LCM of 198,304
| 2 | 198, 304 |
| 99, 152 |
∴ So the LCM of the given numbers is 2 x 99 x 152 = 30096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30096
Therefore, the GCF of Fractions 6639/198,9188/304 is 1/30096
Least Common Multiple of 198,304 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 198,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,304) x common factors =2 x 1 = 2
LCM(198,304) = ( 198 × 304 ) / 2
LCM(198,304) = 60192 / 2
LCM(198,304) = 30096
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FAQs on GCF of Fractions of 6639/198, 9188/304
1. What is the HCF of 6639,9188?
The HCF of 6639,9188 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 6639/198, 9188/304?
Answer: GCF of Numerators as per given numbers 6639/198, 9188/304 is
GCF of Numerators i.e. for 6639,9188 is 1
LCM of denominators i.e. for 198,304 is 30096.
Thus, GCF of Fractions is 1/30096.Finally, GCF of Fractions for 6639/198, 9188/304 is 1/30096.