GCF of 4839/586, 7413/478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4839/586, 7413/478 i.e 3/140054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4839/586, 7413/478.
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 4839/586,7413/478?
Given fractions are 4839/586,7413/478
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 4839/586,7413/478, numerators are 4839,7413
Denominators are 586,478
The GCF of 4839,7413 is 3 .
LCM of 586,478 is 140054.
The greatest common factor of 4839/586,7413/478 = [GCF of 4839,7413]/[LCM of 586,478]= 3/140054
Therefore, the GCF of 4839/586,7413/478 is 3/140054.
To find the highest common factor of 4839,7413, we have to find the factors of both numbers and list the highest common factor.
The factors of 4839 are 1, 3, 1613, 4839
The factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413
The HCF of 4839,7413 is 3.
Lets's calculate GCF of 4839,7413
| 3 | 4839, 7413 |
| 1613, 2471 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4839,7413 By Matching Biggest Common Factor Method
Now, list down the factors of 4839
:1,3,1613,4839
Now, list down the factors of 7413
:1,3,7,21,353,1059,2471,7413
Greatest Common Factor
We found the factors 4839,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 4839,7413 is 3.
Lets's calculate LCM of 586,478
| 2 | 586, 478 |
| 293, 239 |
∴ So the LCM of the given numbers is 2 x 293 x 239 = 140054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140054
Therefore, the GCF of Fractions 4839/586,7413/478 is 3/140054
Least Common Multiple of 586,478 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 586,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,478) x common factors =2 x 1 = 2
LCM(586,478) = ( 586 × 478 ) / 2
LCM(586,478) = 280108 / 2
LCM(586,478) = 140054
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FAQs on GCF of Fractions of 4839/586, 7413/478
1. What is the HCF of 4839,7413?
The HCF of 4839,7413 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 4839/586, 7413/478?
Answer: GCF of Numerators as per given numbers 4839/586, 7413/478 is
GCF of Numerators i.e. for 4839,7413 is 3
LCM of denominators i.e. for 586,478 is 140054.
Thus, GCF of Fractions is 3/140054.Finally, GCF of Fractions for 4839/586, 7413/478 is 3/140054.