GCF of 8615/724, 3551/4576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8615/724, 3551/4576 i.e 1/828256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8615/724, 3551/4576.
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 8615/724,3551/4576?
Given fractions are 8615/724,3551/4576
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 8615/724,3551/4576, numerators are 8615,3551
Denominators are 724,4576
The GCF of 8615,3551 is 1 .
LCM of 724,4576 is 828256.
The greatest common factor of 8615/724,3551/4576 = [GCF of 8615,3551]/[LCM of 724,4576]= 1/828256
Therefore, the GCF of 8615/724,3551/4576 is 1/828256.
To find the highest common factor of 8615,3551, we have to find the factors of both numbers and list the highest common factor.
The factors of 8615 are 1, 5, 1723, 8615
The factors of 3551 are 1, 53, 67, 3551
The HCF of 8615,3551 is 1.
Lets's calculate GCF of 8615,3551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8615,3551 By Matching Biggest Common Factor Method
Now, list down the factors of 8615
:1,5,1723,8615
Now, list down the factors of 3551
:1,53,67,3551
Greatest Common Factor
We found the factors 8615,3551 . The biggest common factor number is the GCF number.
So the greatest common factor 8615,3551 is 1.
Lets's calculate LCM of 724,4576
| 2 | 724, 4576 |
| 2 | 362, 2288 |
| 181, 1144 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 1144 = 828256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828256
Therefore, the GCF of Fractions 8615/724,3551/4576 is 1/828256
Least Common Multiple of 724,4576 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 724,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4576) x common factors =4 x 1 = 4
LCM(724,4576) = ( 724 × 4576 ) / 4
LCM(724,4576) = 3313024 / 4
LCM(724,4576) = 828256
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FAQs on GCF of Fractions of 8615/724, 3551/4576
1. What is the HCF of 8615,3551?
The HCF of 8615,3551 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 8615/724, 3551/4576?
Answer: GCF of Numerators as per given numbers 8615/724, 3551/4576 is
GCF of Numerators i.e. for 8615,3551 is 1
LCM of denominators i.e. for 724,4576 is 828256.
Thus, GCF of Fractions is 1/828256.Finally, GCF of Fractions for 8615/724, 3551/4576 is 1/828256.