GCF of 9055/632, 8695/2487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9055/632, 8695/2487 i.e 5/1571784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9055/632, 8695/2487.
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 9055/632,8695/2487?
Given fractions are 9055/632,8695/2487
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 9055/632,8695/2487, numerators are 9055,8695
Denominators are 632,2487
The GCF of 9055,8695 is 5 .
LCM of 632,2487 is 1571784.
The greatest common factor of 9055/632,8695/2487 = [GCF of 9055,8695]/[LCM of 632,2487]= 5/1571784
Therefore, the GCF of 9055/632,8695/2487 is 5/1571784.
To find the highest common factor of 9055,8695, we have to find the factors of both numbers and list the highest common factor.
The factors of 9055 are 1, 5, 1811, 9055
The factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695
The HCF of 9055,8695 is 5.
Lets's calculate GCF of 9055,8695
| 5 | 9055, 8695 |
| 1811, 1739 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9055,8695 By Matching Biggest Common Factor Method
Now, list down the factors of 9055
:1,5,1811,9055
Now, list down the factors of 8695
:1,5,37,47,185,235,1739,8695
Greatest Common Factor
We found the factors 9055,8695 . The biggest common factor number is the GCF number.
So the greatest common factor 9055,8695 is 5.
Lets's calculate LCM of 632,2487
Given numbers has no common factors except 1. So, there LCM is their product i.e 1571784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1571784
Therefore, the GCF of Fractions 9055/632,8695/2487 is 5/1571784
Least Common Multiple of 632,2487 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 632,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,2487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,2487) x common factors =1 x 1 = 1
LCM(632,2487) = ( 632 × 2487 ) / 1
LCM(632,2487) = 1571784 / 1
LCM(632,2487) = 1571784
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FAQs on GCF of Fractions of 9055/632, 8695/2487
1. What is the HCF of 9055,8695?
The HCF of 9055,8695 is 5
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 9055/632, 8695/2487?
Answer: GCF of Numerators as per given numbers 9055/632, 8695/2487 is
GCF of Numerators i.e. for 9055,8695 is 5
LCM of denominators i.e. for 632,2487 is 1571784.
Thus, GCF of Fractions is 5/1571784.Finally, GCF of Fractions for 9055/632, 8695/2487 is 5/1571784.