GCF of 758/52, 458/4343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/52, 458/4343 i.e 2/225836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/52, 458/4343.
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 758/52,458/4343?
Given fractions are 758/52,458/4343
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 758/52,458/4343, numerators are 758,458
Denominators are 52,4343
The GCF of 758,458 is 2 .
LCM of 52,4343 is 225836.
The greatest common factor of 758/52,458/4343 = [GCF of 758,458]/[LCM of 52,4343]= 2/225836
Therefore, the GCF of 758/52,458/4343 is 2/225836.
To find the highest common factor of 758,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 458 are 1, 2, 229, 458
The HCF of 758,458 is 2.
Lets's calculate GCF of 758,458
| 2 | 758, 458 |
| 379, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 758,458 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 758,458 . The biggest common factor number is the GCF number.
So the greatest common factor 758,458 is 2.
Lets's calculate LCM of 52,4343
Given numbers has no common factors except 1. So, there LCM is their product i.e 225836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/225836
Therefore, the GCF of Fractions 758/52,458/4343 is 2/225836
Least Common Multiple of 52,4343 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 52,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4343) x common factors =1 x 1 = 1
LCM(52,4343) = ( 52 × 4343 ) / 1
LCM(52,4343) = 225836 / 1
LCM(52,4343) = 225836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 758/52, 458/4343
1. What is the HCF of 758,458?
The HCF of 758,458 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 758/52, 458/4343?
Answer: GCF of Numerators as per given numbers 758/52, 458/4343 is
GCF of Numerators i.e. for 758,458 is 2
LCM of denominators i.e. for 52,4343 is 225836.
Thus, GCF of Fractions is 2/225836.Finally, GCF of Fractions for 758/52, 458/4343 is 2/225836.