GCF of 3967/488, 8218/4254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3967/488, 8218/4254 i.e 1/1037976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3967/488, 8218/4254.
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 3967/488,8218/4254?
Given fractions are 3967/488,8218/4254
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 3967/488,8218/4254, numerators are 3967,8218
Denominators are 488,4254
The GCF of 3967,8218 is 1 .
LCM of 488,4254 is 1037976.
The greatest common factor of 3967/488,8218/4254 = [GCF of 3967,8218]/[LCM of 488,4254]= 1/1037976
Therefore, the GCF of 3967/488,8218/4254 is 1/1037976.
To find the highest common factor of 3967,8218, we have to find the factors of both numbers and list the highest common factor.
The factors of 3967 are 1, 3967
The factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218
The HCF of 3967,8218 is 1.
Lets's calculate GCF of 3967,8218
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3967,8218 By Matching Biggest Common Factor Method
Now, list down the factors of 3967
:1,3967
Now, list down the factors of 8218
:1,2,7,14,587,1174,4109,8218
Greatest Common Factor
We found the factors 3967,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 3967,8218 is 1.
Lets's calculate LCM of 488,4254
| 2 | 488, 4254 |
| 244, 2127 |
∴ So the LCM of the given numbers is 2 x 244 x 2127 = 1037976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037976
Therefore, the GCF of Fractions 3967/488,8218/4254 is 1/1037976
Least Common Multiple of 488,4254 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 488,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,4254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,4254) x common factors =2 x 1 = 2
LCM(488,4254) = ( 488 × 4254 ) / 2
LCM(488,4254) = 2075952 / 2
LCM(488,4254) = 1037976
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FAQs on GCF of Fractions of 3967/488, 8218/4254
1. What is the HCF of 3967,8218?
The HCF of 3967,8218 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 3967/488, 8218/4254?
Answer: GCF of Numerators as per given numbers 3967/488, 8218/4254 is
GCF of Numerators i.e. for 3967,8218 is 1
LCM of denominators i.e. for 488,4254 is 1037976.
Thus, GCF of Fractions is 1/1037976.Finally, GCF of Fractions for 3967/488, 8218/4254 is 1/1037976.