GCF of 4287/914, 8104/2504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4287/914, 8104/2504 i.e 1/1144328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4287/914, 8104/2504.
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 4287/914,8104/2504?
Given fractions are 4287/914,8104/2504
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 4287/914,8104/2504, numerators are 4287,8104
Denominators are 914,2504
The GCF of 4287,8104 is 1 .
LCM of 914,2504 is 1144328.
The greatest common factor of 4287/914,8104/2504 = [GCF of 4287,8104]/[LCM of 914,2504]= 1/1144328
Therefore, the GCF of 4287/914,8104/2504 is 1/1144328.
To find the highest common factor of 4287,8104, we have to find the factors of both numbers and list the highest common factor.
The factors of 4287 are 1, 3, 1429, 4287
The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104
The HCF of 4287,8104 is 1.
Lets's calculate GCF of 4287,8104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4287,8104 By Matching Biggest Common Factor Method
Now, list down the factors of 4287
:1,3,1429,4287
Now, list down the factors of 8104
:1,2,4,8,1013,2026,4052,8104
Greatest Common Factor
We found the factors 4287,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 4287,8104 is 1.
Lets's calculate LCM of 914,2504
| 2 | 914, 2504 |
| 457, 1252 |
∴ So the LCM of the given numbers is 2 x 457 x 1252 = 1144328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1144328
Therefore, the GCF of Fractions 4287/914,8104/2504 is 1/1144328
Least Common Multiple of 914,2504 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 914,2504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,2504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,2504) x common factors =2 x 1 = 2
LCM(914,2504) = ( 914 × 2504 ) / 2
LCM(914,2504) = 2288656 / 2
LCM(914,2504) = 1144328
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FAQs on GCF of Fractions of 4287/914, 8104/2504
1. What is the HCF of 4287,8104?
The HCF of 4287,8104 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 4287/914, 8104/2504?
Answer: GCF of Numerators as per given numbers 4287/914, 8104/2504 is
GCF of Numerators i.e. for 4287,8104 is 1
LCM of denominators i.e. for 914,2504 is 1144328.
Thus, GCF of Fractions is 1/1144328.Finally, GCF of Fractions for 4287/914, 8104/2504 is 1/1144328.