GCF of 4295/412, 6381/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4295/412, 6381/958 i.e 1/197348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4295/412, 6381/958.
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 4295/412,6381/958?
Given fractions are 4295/412,6381/958
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 4295/412,6381/958, numerators are 4295,6381
Denominators are 412,958
The GCF of 4295,6381 is 1 .
LCM of 412,958 is 197348.
The greatest common factor of 4295/412,6381/958 = [GCF of 4295,6381]/[LCM of 412,958]= 1/197348
Therefore, the GCF of 4295/412,6381/958 is 1/197348.
To find the highest common factor of 4295,6381, we have to find the factors of both numbers and list the highest common factor.
The factors of 4295 are 1, 5, 859, 4295
The factors of 6381 are 1, 3, 9, 709, 2127, 6381
The HCF of 4295,6381 is 1.
Lets's calculate GCF of 4295,6381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4295,6381 By Matching Biggest Common Factor Method
Now, list down the factors of 4295
:1,5,859,4295
Now, list down the factors of 6381
:1,3,9,709,2127,6381
Greatest Common Factor
We found the factors 4295,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 4295,6381 is 1.
Lets's calculate LCM of 412,958
| 2 | 412, 958 |
| 206, 479 |
∴ So the LCM of the given numbers is 2 x 206 x 479 = 197348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197348
Therefore, the GCF of Fractions 4295/412,6381/958 is 1/197348
Least Common Multiple of 412,958 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 412,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(412,958) x common factors =2 x 1 = 2
LCM(412,958) = ( 412 × 958 ) / 2
LCM(412,958) = 394696 / 2
LCM(412,958) = 197348
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FAQs on GCF of Fractions of 4295/412, 6381/958
1. What is the HCF of 4295,6381?
The HCF of 4295,6381 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 4295/412, 6381/958?
Answer: GCF of Numerators as per given numbers 4295/412, 6381/958 is
GCF of Numerators i.e. for 4295,6381 is 1
LCM of denominators i.e. for 412,958 is 197348.
Thus, GCF of Fractions is 1/197348.Finally, GCF of Fractions for 4295/412, 6381/958 is 1/197348.