GCF of 356/939, 458/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 356/939, 458/468 i.e 2/146484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/939, 458/468.
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 356/939,458/468?
Given fractions are 356/939,458/468
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 356/939,458/468, numerators are 356,458
Denominators are 939,468
The GCF of 356,458 is 2 .
LCM of 939,468 is 146484.
The greatest common factor of 356/939,458/468 = [GCF of 356,458]/[LCM of 939,468]= 2/146484
Therefore, the GCF of 356/939,458/468 is 2/146484.
To find the highest common factor of 356,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 458 are 1, 2, 229, 458
The HCF of 356,458 is 2.
Lets's calculate GCF of 356,458
| 2 | 356, 458 |
| 178, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 356,458 By Matching Biggest Common Factor Method
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 356,458 . The biggest common factor number is the GCF number.
So the greatest common factor 356,458 is 2.
Lets's calculate LCM of 939,468
| 3 | 939, 468 |
| 313, 156 |
∴ So the LCM of the given numbers is 3 x 313 x 156 = 146484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146484
Therefore, the GCF of Fractions 356/939,458/468 is 2/146484
Least Common Multiple of 939,468 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 939,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,468) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,468) x common factors =3 x 1 = 3
LCM(939,468) = ( 939 × 468 ) / 3
LCM(939,468) = 439452 / 3
LCM(939,468) = 146484
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 356/939, 458/468
1. What is the HCF of 356,458?
The HCF of 356,458 is 2
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 356/939, 458/468?
Answer: GCF of Numerators as per given numbers 356/939, 458/468 is
GCF of Numerators i.e. for 356,458 is 2
LCM of denominators i.e. for 939,468 is 146484.
Thus, GCF of Fractions is 2/146484.Finally, GCF of Fractions for 356/939, 458/468 is 2/146484.