GCF of 430/792, 458/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/792, 458/867 i.e 2/228888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/792, 458/867.
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 430/792,458/867?
Given fractions are 430/792,458/867
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 430/792,458/867, numerators are 430,458
Denominators are 792,867
The GCF of 430,458 is 2 .
LCM of 792,867 is 228888.
The greatest common factor of 430/792,458/867 = [GCF of 430,458]/[LCM of 792,867]= 2/228888
Therefore, the GCF of 430/792,458/867 is 2/228888.
To find the highest common factor of 430,458, 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 458 are 1, 2, 229, 458
The HCF of 430,458 is 2.
Lets's calculate GCF of 430,458
| 2 | 430, 458 |
| 215, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 430,458 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 458
:1,2,229,458
Greatest Common Factor
We found the factors 430,458 . The biggest common factor number is the GCF number.
So the greatest common factor 430,458 is 2.
Lets's calculate LCM of 792,867
| 3 | 792, 867 |
| 264, 289 |
∴ So the LCM of the given numbers is 3 x 264 x 289 = 228888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228888
Therefore, the GCF of Fractions 430/792,458/867 is 2/228888
Least Common Multiple of 792,867 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 792,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(792,867) x common factors =3 x 1 = 3
LCM(792,867) = ( 792 × 867 ) / 3
LCM(792,867) = 686664 / 3
LCM(792,867) = 228888
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FAQs on GCF of Fractions of 430/792, 458/867
1. What is the HCF of 430,458?
The HCF of 430,458 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 430/792, 458/867?
Answer: GCF of Numerators as per given numbers 430/792, 458/867 is
GCF of Numerators i.e. for 430,458 is 2
LCM of denominators i.e. for 792,867 is 228888.
Thus, GCF of Fractions is 2/228888.Finally, GCF of Fractions for 430/792, 458/867 is 2/228888.