GCF of 4486/272, 6109/5034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4486/272, 6109/5034 i.e 1/684624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4486/272, 6109/5034.
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 4486/272,6109/5034?
Given fractions are 4486/272,6109/5034
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 4486/272,6109/5034, numerators are 4486,6109
Denominators are 272,5034
The GCF of 4486,6109 is 1 .
LCM of 272,5034 is 684624.
The greatest common factor of 4486/272,6109/5034 = [GCF of 4486,6109]/[LCM of 272,5034]= 1/684624
Therefore, the GCF of 4486/272,6109/5034 is 1/684624.
To find the highest common factor of 4486,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4486 are 1, 2, 2243, 4486
The factors of 6109 are 1, 41, 149, 6109
The HCF of 4486,6109 is 1.
Lets's calculate GCF of 4486,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4486,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 4486
:1,2,2243,4486
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 4486,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 4486,6109 is 1.
Lets's calculate LCM of 272,5034
| 2 | 272, 5034 |
| 136, 2517 |
∴ So the LCM of the given numbers is 2 x 136 x 2517 = 684624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684624
Therefore, the GCF of Fractions 4486/272,6109/5034 is 1/684624
Least Common Multiple of 272,5034 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 272,5034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,5034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,5034) x common factors =2 x 1 = 2
LCM(272,5034) = ( 272 × 5034 ) / 2
LCM(272,5034) = 1369248 / 2
LCM(272,5034) = 684624
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FAQs on GCF of Fractions of 4486/272, 6109/5034
1. What is the HCF of 4486,6109?
The HCF of 4486,6109 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 4486/272, 6109/5034?
Answer: GCF of Numerators as per given numbers 4486/272, 6109/5034 is
GCF of Numerators i.e. for 4486,6109 is 1
LCM of denominators i.e. for 272,5034 is 684624.
Thus, GCF of Fractions is 1/684624.Finally, GCF of Fractions for 4486/272, 6109/5034 is 1/684624.