GCF of 8295/399, 2109/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8295/399, 2109/284 i.e 3/113316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8295/399, 2109/284.
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 8295/399,2109/284?
Given fractions are 8295/399,2109/284
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 8295/399,2109/284, numerators are 8295,2109
Denominators are 399,284
The GCF of 8295,2109 is 3 .
LCM of 399,284 is 113316.
The greatest common factor of 8295/399,2109/284 = [GCF of 8295,2109]/[LCM of 399,284]= 3/113316
Therefore, the GCF of 8295/399,2109/284 is 3/113316.
To find the highest common factor of 8295,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 8295,2109 is 3.
Lets's calculate GCF of 8295,2109
| 3 | 8295, 2109 |
| 2765, 703 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8295,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 8295
:1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 8295,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 8295,2109 is 3.
Lets's calculate LCM of 399,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 113316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113316
Therefore, the GCF of Fractions 8295/399,2109/284 is 3/113316
Least Common Multiple of 399,284 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 399,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,284) x common factors =1 x 1 = 1
LCM(399,284) = ( 399 × 284 ) / 1
LCM(399,284) = 113316 / 1
LCM(399,284) = 113316
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FAQs on GCF of Fractions of 8295/399, 2109/284
1. What is the HCF of 8295,2109?
The HCF of 8295,2109 is 3
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 8295/399, 2109/284?
Answer: GCF of Numerators as per given numbers 8295/399, 2109/284 is
GCF of Numerators i.e. for 8295,2109 is 3
LCM of denominators i.e. for 399,284 is 113316.
Thus, GCF of Fractions is 3/113316.Finally, GCF of Fractions for 8295/399, 2109/284 is 3/113316.