GCF of 9039/831, 1128/4514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9039/831, 1128/4514 i.e 3/3751134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/831, 1128/4514.
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 9039/831,1128/4514?
Given fractions are 9039/831,1128/4514
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 9039/831,1128/4514, numerators are 9039,1128
Denominators are 831,4514
The GCF of 9039,1128 is 3 .
LCM of 831,4514 is 3751134.
The greatest common factor of 9039/831,1128/4514 = [GCF of 9039,1128]/[LCM of 831,4514]= 3/3751134
Therefore, the GCF of 9039/831,1128/4514 is 3/3751134.
To find the highest common factor of 9039,1128, we have to find the factors of both numbers and list the highest common factor.
The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The HCF of 9039,1128 is 3.
Lets's calculate GCF of 9039,1128
| 3 | 9039, 1128 |
| 3013, 376 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9039,1128 By Matching Biggest Common Factor Method
Now, list down the factors of 9039
:1,3,23,69,131,393,3013,9039
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Greatest Common Factor
We found the factors 9039,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,1128 is 3.
Lets's calculate LCM of 831,4514
Given numbers has no common factors except 1. So, there LCM is their product i.e 3751134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3751134
Therefore, the GCF of Fractions 9039/831,1128/4514 is 3/3751134
Least Common Multiple of 831,4514 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 831,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,4514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,4514) x common factors =1 x 1 = 1
LCM(831,4514) = ( 831 × 4514 ) / 1
LCM(831,4514) = 3751134 / 1
LCM(831,4514) = 3751134
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FAQs on GCF of Fractions of 9039/831, 1128/4514
1. What is the HCF of 9039,1128?
The HCF of 9039,1128 is 3
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 9039/831, 1128/4514?
Answer: GCF of Numerators as per given numbers 9039/831, 1128/4514 is
GCF of Numerators i.e. for 9039,1128 is 3
LCM of denominators i.e. for 831,4514 is 3751134.
Thus, GCF of Fractions is 3/3751134.Finally, GCF of Fractions for 9039/831, 1128/4514 is 3/3751134.