GCF of 8246/378, 6357/8031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8246/378, 6357/8031 i.e 1/1011906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8246/378, 6357/8031.
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 8246/378,6357/8031?
Given fractions are 8246/378,6357/8031
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 8246/378,6357/8031, numerators are 8246,6357
Denominators are 378,8031
The GCF of 8246,6357 is 1 .
LCM of 378,8031 is 1011906.
The greatest common factor of 8246/378,6357/8031 = [GCF of 8246,6357]/[LCM of 378,8031]= 1/1011906
Therefore, the GCF of 8246/378,6357/8031 is 1/1011906.
To find the highest common factor of 8246,6357, we have to find the factors of both numbers and list the highest common factor.
The factors of 8246 are 1, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 8246
The factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The HCF of 8246,6357 is 1.
Lets's calculate GCF of 8246,6357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8246,6357 By Matching Biggest Common Factor Method
Now, list down the factors of 8246
:1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 8246,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 8246,6357 is 1.
Lets's calculate LCM of 378,8031
| 3 | 378, 8031 |
| 126, 2677 |
∴ So the LCM of the given numbers is 3 x 126 x 2677 = 1011906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1011906
Therefore, the GCF of Fractions 8246/378,6357/8031 is 1/1011906
Least Common Multiple of 378,8031 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 378,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,8031) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,8031) x common factors =3 x 1 = 3
LCM(378,8031) = ( 378 × 8031 ) / 3
LCM(378,8031) = 3035718 / 3
LCM(378,8031) = 1011906
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FAQs on GCF of Fractions of 8246/378, 6357/8031
1. What is the HCF of 8246,6357?
The HCF of 8246,6357 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 8246/378, 6357/8031?
Answer: GCF of Numerators as per given numbers 8246/378, 6357/8031 is
GCF of Numerators i.e. for 8246,6357 is 1
LCM of denominators i.e. for 378,8031 is 1011906.
Thus, GCF of Fractions is 1/1011906.Finally, GCF of Fractions for 8246/378, 6357/8031 is 1/1011906.