GCF of 4759/654, 4918/9908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4759/654, 4918/9908 i.e 1/3239916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4759/654, 4918/9908.
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 4759/654,4918/9908?
Given fractions are 4759/654,4918/9908
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 4759/654,4918/9908, numerators are 4759,4918
Denominators are 654,9908
The GCF of 4759,4918 is 1 .
LCM of 654,9908 is 3239916.
The greatest common factor of 4759/654,4918/9908 = [GCF of 4759,4918]/[LCM of 654,9908]= 1/3239916
Therefore, the GCF of 4759/654,4918/9908 is 1/3239916.
To find the highest common factor of 4759,4918, we have to find the factors of both numbers and list the highest common factor.
The factors of 4759 are 1, 4759
The factors of 4918 are 1, 2, 2459, 4918
The HCF of 4759,4918 is 1.
Lets's calculate GCF of 4759,4918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4759,4918 By Matching Biggest Common Factor Method
Now, list down the factors of 4759
:1,4759
Now, list down the factors of 4918
:1,2,2459,4918
Greatest Common Factor
We found the factors 4759,4918 . The biggest common factor number is the GCF number.
So the greatest common factor 4759,4918 is 1.
Lets's calculate LCM of 654,9908
| 2 | 654, 9908 |
| 327, 4954 |
∴ So the LCM of the given numbers is 2 x 327 x 4954 = 3239916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3239916
Therefore, the GCF of Fractions 4759/654,4918/9908 is 1/3239916
Least Common Multiple of 654,9908 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 654,9908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,9908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,9908) x common factors =2 x 1 = 2
LCM(654,9908) = ( 654 × 9908 ) / 2
LCM(654,9908) = 6479832 / 2
LCM(654,9908) = 3239916
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4759/654, 4918/9908
1. What is the HCF of 4759,4918?
The HCF of 4759,4918 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 4759/654, 4918/9908?
Answer: GCF of Numerators as per given numbers 4759/654, 4918/9908 is
GCF of Numerators i.e. for 4759,4918 is 1
LCM of denominators i.e. for 654,9908 is 3239916.
Thus, GCF of Fractions is 1/3239916.Finally, GCF of Fractions for 4759/654, 4918/9908 is 1/3239916.