GCF of 4986/245, 4881/5504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4986/245, 4881/5504 i.e 3/1348480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/245, 4881/5504.
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 4986/245,4881/5504?
Given fractions are 4986/245,4881/5504
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 4986/245,4881/5504, numerators are 4986,4881
Denominators are 245,5504
The GCF of 4986,4881 is 3 .
LCM of 245,5504 is 1348480.
The greatest common factor of 4986/245,4881/5504 = [GCF of 4986,4881]/[LCM of 245,5504]= 3/1348480
Therefore, the GCF of 4986/245,4881/5504 is 3/1348480.
To find the highest common factor of 4986,4881, we have to find the factors of both numbers and list the highest common factor.
The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986
The factors of 4881 are 1, 3, 1627, 4881
The HCF of 4986,4881 is 3.
Lets's calculate GCF of 4986,4881
| 3 | 4986, 4881 |
| 1662, 1627 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4986,4881 By Matching Biggest Common Factor Method
Now, list down the factors of 4986
:1,2,3,6,9,18,277,554,831,1662,2493,4986
Now, list down the factors of 4881
:1,3,1627,4881
Greatest Common Factor
We found the factors 4986,4881 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,4881 is 3.
Lets's calculate LCM of 245,5504
Given numbers has no common factors except 1. So, there LCM is their product i.e 1348480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1348480
Therefore, the GCF of Fractions 4986/245,4881/5504 is 3/1348480
Least Common Multiple of 245,5504 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 245,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,5504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,5504) x common factors =1 x 1 = 1
LCM(245,5504) = ( 245 × 5504 ) / 1
LCM(245,5504) = 1348480 / 1
LCM(245,5504) = 1348480
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FAQs on GCF of Fractions of 4986/245, 4881/5504
1. What is the HCF of 4986,4881?
The HCF of 4986,4881 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 4986/245, 4881/5504?
Answer: GCF of Numerators as per given numbers 4986/245, 4881/5504 is
GCF of Numerators i.e. for 4986,4881 is 3
LCM of denominators i.e. for 245,5504 is 1348480.
Thus, GCF of Fractions is 3/1348480.Finally, GCF of Fractions for 4986/245, 4881/5504 is 3/1348480.