GCF of 8631/819, 4443/2987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8631/819, 4443/2987 i.e 3/2446353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8631/819, 4443/2987.
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 8631/819,4443/2987?
Given fractions are 8631/819,4443/2987
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 8631/819,4443/2987, numerators are 8631,4443
Denominators are 819,2987
The GCF of 8631,4443 is 3 .
LCM of 819,2987 is 2446353.
The greatest common factor of 8631/819,4443/2987 = [GCF of 8631,4443]/[LCM of 819,2987]= 3/2446353
Therefore, the GCF of 8631/819,4443/2987 is 3/2446353.
To find the highest common factor of 8631,4443, we have to find the factors of both numbers and list the highest common factor.
The factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631
The factors of 4443 are 1, 3, 1481, 4443
The HCF of 8631,4443 is 3.
Lets's calculate GCF of 8631,4443
| 3 | 8631, 4443 |
| 2877, 1481 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8631,4443 By Matching Biggest Common Factor Method
Now, list down the factors of 8631
:1,3,7,9,21,63,137,411,959,1233,2877,8631
Now, list down the factors of 4443
:1,3,1481,4443
Greatest Common Factor
We found the factors 8631,4443 . The biggest common factor number is the GCF number.
So the greatest common factor 8631,4443 is 3.
Lets's calculate LCM of 819,2987
Given numbers has no common factors except 1. So, there LCM is their product i.e 2446353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2446353
Therefore, the GCF of Fractions 8631/819,4443/2987 is 3/2446353
Least Common Multiple of 819,2987 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 819,2987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,2987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,2987) x common factors =1 x 1 = 1
LCM(819,2987) = ( 819 × 2987 ) / 1
LCM(819,2987) = 2446353 / 1
LCM(819,2987) = 2446353
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FAQs on GCF of Fractions of 8631/819, 4443/2987
1. What is the HCF of 8631,4443?
The HCF of 8631,4443 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 8631/819, 4443/2987?
Answer: GCF of Numerators as per given numbers 8631/819, 4443/2987 is
GCF of Numerators i.e. for 8631,4443 is 3
LCM of denominators i.e. for 819,2987 is 2446353.
Thus, GCF of Fractions is 3/2446353.Finally, GCF of Fractions for 8631/819, 4443/2987 is 3/2446353.