GCF of 430/628, 8244/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/628, 8244/418 i.e 2/131252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/628, 8244/418.
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 430/628,8244/418?
Given fractions are 430/628,8244/418
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 430/628,8244/418, numerators are 430,8244
Denominators are 628,418
The GCF of 430,8244 is 2 .
LCM of 628,418 is 131252.
The greatest common factor of 430/628,8244/418 = [GCF of 430,8244]/[LCM of 628,418]= 2/131252
Therefore, the GCF of 430/628,8244/418 is 2/131252.
To find the highest common factor of 430,8244, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244
The HCF of 430,8244 is 2.
Lets's calculate GCF of 430,8244
| 2 | 430, 8244 |
| 215, 4122 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 430,8244 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 8244
:1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Greatest Common Factor
We found the factors 430,8244 . The biggest common factor number is the GCF number.
So the greatest common factor 430,8244 is 2.
Lets's calculate LCM of 628,418
| 2 | 628, 418 |
| 314, 209 |
∴ So the LCM of the given numbers is 2 x 314 x 209 = 131252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131252
Therefore, the GCF of Fractions 430/628,8244/418 is 2/131252
Least Common Multiple of 628,418 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 628,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,418) x common factors =2 x 1 = 2
LCM(628,418) = ( 628 × 418 ) / 2
LCM(628,418) = 262504 / 2
LCM(628,418) = 131252
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 430/628, 8244/418
1. What is the HCF of 430,8244?
The HCF of 430,8244 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 430/628, 8244/418?
Answer: GCF of Numerators as per given numbers 430/628, 8244/418 is
GCF of Numerators i.e. for 430,8244 is 2
LCM of denominators i.e. for 628,418 is 131252.
Thus, GCF of Fractions is 2/131252.Finally, GCF of Fractions for 430/628, 8244/418 is 2/131252.