GCF of 2625/487, 8655/5903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2625/487, 8655/5903 i.e 15/2874761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2625/487, 8655/5903.
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 2625/487,8655/5903?
Given fractions are 2625/487,8655/5903
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 2625/487,8655/5903, numerators are 2625,8655
Denominators are 487,5903
The GCF of 2625,8655 is 15 .
LCM of 487,5903 is 2874761.
The greatest common factor of 2625/487,8655/5903 = [GCF of 2625,8655]/[LCM of 487,5903]= 15/2874761
Therefore, the GCF of 2625/487,8655/5903 is 15/2874761.
To find the highest common factor of 2625,8655, we have to find the factors of both numbers and list the highest common factor.
The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
The factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655
The HCF of 2625,8655 is 15.
Lets's calculate GCF of 2625,8655
| 3 | 2625, 8655 |
| 5 | 875, 2885 |
| 175, 577 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2625,8655 By Matching Biggest Common Factor Method
Now, list down the factors of 2625
:1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Now, list down the factors of 8655
:1,3,5,15,577,1731,2885,8655
Greatest Common Factor
We found the factors 2625,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 2625,8655 is 15.
Lets's calculate LCM of 487,5903
Given numbers has no common factors except 1. So, there LCM is their product i.e 2874761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2874761
Therefore, the GCF of Fractions 2625/487,8655/5903 is 15/2874761
Least Common Multiple of 487,5903 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 487,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,5903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,5903) x common factors =1 x 1 = 1
LCM(487,5903) = ( 487 × 5903 ) / 1
LCM(487,5903) = 2874761 / 1
LCM(487,5903) = 2874761
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FAQs on GCF of Fractions of 2625/487, 8655/5903
1. What is the HCF of 2625,8655?
The HCF of 2625,8655 is 15
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 2625/487, 8655/5903?
Answer: GCF of Numerators as per given numbers 2625/487, 8655/5903 is
GCF of Numerators i.e. for 2625,8655 is 15
LCM of denominators i.e. for 487,5903 is 2874761.
Thus, GCF of Fractions is 15/2874761.Finally, GCF of Fractions for 2625/487, 8655/5903 is 15/2874761.