GCF of 4190/304, 8099/8056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4190/304, 8099/8056 i.e 1/16112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4190/304, 8099/8056.
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 4190/304,8099/8056?
Given fractions are 4190/304,8099/8056
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 4190/304,8099/8056, numerators are 4190,8099
Denominators are 304,8056
The GCF of 4190,8099 is 1 .
LCM of 304,8056 is 16112.
The greatest common factor of 4190/304,8099/8056 = [GCF of 4190,8099]/[LCM of 304,8056]= 1/16112
Therefore, the GCF of 4190/304,8099/8056 is 1/16112.
To find the highest common factor of 4190,8099, we have to find the factors of both numbers and list the highest common factor.
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099
The HCF of 4190,8099 is 1.
Lets's calculate GCF of 4190,8099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4190,8099 By Matching Biggest Common Factor Method
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Now, list down the factors of 8099
:1,7,13,89,91,623,1157,8099
Greatest Common Factor
We found the factors 4190,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 4190,8099 is 1.
Lets's calculate LCM of 304,8056
| 2 | 304, 8056 |
| 2 | 152, 4028 |
| 2 | 76, 2014 |
| 19 | 38, 1007 |
| 2, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 2 x 53 = 16112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16112
Therefore, the GCF of Fractions 4190/304,8099/8056 is 1/16112
Least Common Multiple of 304,8056 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 304,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,8056) = 152
common factors(in case of two or more numbers have common factors) = 1
GCF(304,8056) x common factors =152 x 1 = 152
LCM(304,8056) = ( 304 × 8056 ) / 152
LCM(304,8056) = 2449024 / 152
LCM(304,8056) = 16112
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FAQs on GCF of Fractions of 4190/304, 8099/8056
1. What is the HCF of 4190,8099?
The HCF of 4190,8099 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 4190/304, 8099/8056?
Answer: GCF of Numerators as per given numbers 4190/304, 8099/8056 is
GCF of Numerators i.e. for 4190,8099 is 1
LCM of denominators i.e. for 304,8056 is 16112.
Thus, GCF of Fractions is 1/16112.Finally, GCF of Fractions for 4190/304, 8099/8056 is 1/16112.