GCF of 2265/285, 7989/3990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2265/285, 7989/3990 i.e 3/3990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2265/285, 7989/3990.
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 2265/285,7989/3990?
Given fractions are 2265/285,7989/3990
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 2265/285,7989/3990, numerators are 2265,7989
Denominators are 285,3990
The GCF of 2265,7989 is 3 .
LCM of 285,3990 is 3990.
The greatest common factor of 2265/285,7989/3990 = [GCF of 2265,7989]/[LCM of 285,3990]= 3/3990
Therefore, the GCF of 2265/285,7989/3990 is 3/3990.
To find the highest common factor of 2265,7989, we have to find the factors of both numbers and list the highest common factor.
The factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265
The factors of 7989 are 1, 3, 2663, 7989
The HCF of 2265,7989 is 3.
Lets's calculate GCF of 2265,7989
| 3 | 2265, 7989 |
| 755, 2663 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2265,7989 By Matching Biggest Common Factor Method
Now, list down the factors of 2265
:1,3,5,15,151,453,755,2265
Now, list down the factors of 7989
:1,3,2663,7989
Greatest Common Factor
We found the factors 2265,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 2265,7989 is 3.
Lets's calculate LCM of 285,3990
| 3 | 285, 3990 |
| 5 | 95, 1330 |
| 19 | 19, 266 |
| 1, 14 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 1 x 14 = 3990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3990
Therefore, the GCF of Fractions 2265/285,7989/3990 is 3/3990
Least Common Multiple of 285,3990 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 285,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,3990) = 285
common factors(in case of two or more numbers have common factors) = 1
GCF(285,3990) x common factors =285 x 1 = 285
LCM(285,3990) = ( 285 × 3990 ) / 285
LCM(285,3990) = 1137150 / 285
LCM(285,3990) = 3990
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FAQs on GCF of Fractions of 2265/285, 7989/3990
1. What is the HCF of 2265,7989?
The HCF of 2265,7989 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 2265/285, 7989/3990?
Answer: GCF of Numerators as per given numbers 2265/285, 7989/3990 is
GCF of Numerators i.e. for 2265,7989 is 3
LCM of denominators i.e. for 285,3990 is 3990.
Thus, GCF of Fractions is 3/3990.Finally, GCF of Fractions for 2265/285, 7989/3990 is 3/3990.