GCF of 8939/765, 3015/4845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8939/765, 3015/4845 i.e 1/14535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8939/765, 3015/4845.
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 8939/765,3015/4845?
Given fractions are 8939/765,3015/4845
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 8939/765,3015/4845, numerators are 8939,3015
Denominators are 765,4845
The GCF of 8939,3015 is 1 .
LCM of 765,4845 is 14535.
The greatest common factor of 8939/765,3015/4845 = [GCF of 8939,3015]/[LCM of 765,4845]= 1/14535
Therefore, the GCF of 8939/765,3015/4845 is 1/14535.
To find the highest common factor of 8939,3015, we have to find the factors of both numbers and list the highest common factor.
The factors of 8939 are 1, 7, 1277, 8939
The factors of 3015 are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005, 3015
The HCF of 8939,3015 is 1.
Lets's calculate GCF of 8939,3015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8939,3015 By Matching Biggest Common Factor Method
Now, list down the factors of 8939
:1,7,1277,8939
Now, list down the factors of 3015
:1,3,5,9,15,45,67,201,335,603,1005,3015
Greatest Common Factor
We found the factors 8939,3015 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,3015 is 1.
Lets's calculate LCM of 765,4845
| 3 | 765, 4845 |
| 5 | 255, 1615 |
| 17 | 51, 323 |
| 3, 19 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 3 x 19 = 14535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14535
Therefore, the GCF of Fractions 8939/765,3015/4845 is 1/14535
Least Common Multiple of 765,4845 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 765,4845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,4845) = 255
common factors(in case of two or more numbers have common factors) = 1
GCF(765,4845) x common factors =255 x 1 = 255
LCM(765,4845) = ( 765 × 4845 ) / 255
LCM(765,4845) = 3706425 / 255
LCM(765,4845) = 14535
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FAQs on GCF of Fractions of 8939/765, 3015/4845
1. What is the HCF of 8939,3015?
The HCF of 8939,3015 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 8939/765, 3015/4845?
Answer: GCF of Numerators as per given numbers 8939/765, 3015/4845 is
GCF of Numerators i.e. for 8939,3015 is 1
LCM of denominators i.e. for 765,4845 is 14535.
Thus, GCF of Fractions is 1/14535.Finally, GCF of Fractions for 8939/765, 3015/4845 is 1/14535.