GCF of 4462/431, 8078/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4462/431, 8078/943 i.e 2/406433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4462/431, 8078/943.
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 4462/431,8078/943?
Given fractions are 4462/431,8078/943
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 4462/431,8078/943, numerators are 4462,8078
Denominators are 431,943
The GCF of 4462,8078 is 2 .
LCM of 431,943 is 406433.
The greatest common factor of 4462/431,8078/943 = [GCF of 4462,8078]/[LCM of 431,943]= 2/406433
Therefore, the GCF of 4462/431,8078/943 is 2/406433.
To find the highest common factor of 4462,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 4462,8078 is 2.
Lets's calculate GCF of 4462,8078
| 2 | 4462, 8078 |
| 2231, 4039 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4462,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 4462
:1,2,23,46,97,194,2231,4462
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 4462,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 4462,8078 is 2.
Lets's calculate LCM of 431,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 406433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/406433
Therefore, the GCF of Fractions 4462/431,8078/943 is 2/406433
Least Common Multiple of 431,943 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 431,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,943) x common factors =1 x 1 = 1
LCM(431,943) = ( 431 × 943 ) / 1
LCM(431,943) = 406433 / 1
LCM(431,943) = 406433
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FAQs on GCF of Fractions of 4462/431, 8078/943
1. What is the HCF of 4462,8078?
The HCF of 4462,8078 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 4462/431, 8078/943?
Answer: GCF of Numerators as per given numbers 4462/431, 8078/943 is
GCF of Numerators i.e. for 4462,8078 is 2
LCM of denominators i.e. for 431,943 is 406433.
Thus, GCF of Fractions is 2/406433.Finally, GCF of Fractions for 4462/431, 8078/943 is 2/406433.