GCF of 8816/872, 3439/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8816/872, 3439/319 i.e 19/278168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8816/872, 3439/319.
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 8816/872,3439/319?
Given fractions are 8816/872,3439/319
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 8816/872,3439/319, numerators are 8816,3439
Denominators are 872,319
The GCF of 8816,3439 is 19 .
LCM of 872,319 is 278168.
The greatest common factor of 8816/872,3439/319 = [GCF of 8816,3439]/[LCM of 872,319]= 19/278168
Therefore, the GCF of 8816/872,3439/319 is 19/278168.
To find the highest common factor of 8816,3439, we have to find the factors of both numbers and list the highest common factor.
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The factors of 3439 are 1, 19, 181, 3439
The HCF of 8816,3439 is 19.
Lets's calculate GCF of 8816,3439
| 19 | 8816, 3439 |
| 464, 181 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8816,3439 By Matching Biggest Common Factor Method
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Now, list down the factors of 3439
:1,19,181,3439
Greatest Common Factor
We found the factors 8816,3439 . The biggest common factor number is the GCF number.
So the greatest common factor 8816,3439 is 19.
Lets's calculate LCM of 872,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 278168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/278168
Therefore, the GCF of Fractions 8816/872,3439/319 is 19/278168
Least Common Multiple of 872,319 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 872,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,319) x common factors =1 x 1 = 1
LCM(872,319) = ( 872 × 319 ) / 1
LCM(872,319) = 278168 / 1
LCM(872,319) = 278168
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FAQs on GCF of Fractions of 8816/872, 3439/319
1. What is the HCF of 8816,3439?
The HCF of 8816,3439 is 19
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 8816/872, 3439/319?
Answer: GCF of Numerators as per given numbers 8816/872, 3439/319 is
GCF of Numerators i.e. for 8816,3439 is 19
LCM of denominators i.e. for 872,319 is 278168.
Thus, GCF of Fractions is 19/278168.Finally, GCF of Fractions for 8816/872, 3439/319 is 19/278168.