GCF of 6246/938, 9372/5186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6246/938, 9372/5186 i.e 6/2432234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6246/938, 9372/5186.
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 6246/938,9372/5186?
Given fractions are 6246/938,9372/5186
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 6246/938,9372/5186, numerators are 6246,9372
Denominators are 938,5186
The GCF of 6246,9372 is 6 .
LCM of 938,5186 is 2432234.
The greatest common factor of 6246/938,9372/5186 = [GCF of 6246,9372]/[LCM of 938,5186]= 6/2432234
Therefore, the GCF of 6246/938,9372/5186 is 6/2432234.
To find the highest common factor of 6246,9372, we have to find the factors of both numbers and list the highest common factor.
The factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 6246,9372 is 6.
Lets's calculate GCF of 6246,9372
| 2 | 6246, 9372 |
| 3 | 3123, 4686 |
| 1041, 1562 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6246,9372 By Matching Biggest Common Factor Method
Now, list down the factors of 6246
:1,2,3,6,9,18,347,694,1041,2082,3123,6246
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 6246,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 6246,9372 is 6.
Lets's calculate LCM of 938,5186
| 2 | 938, 5186 |
| 469, 2593 |
∴ So the LCM of the given numbers is 2 x 469 x 2593 = 2432234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2432234
Therefore, the GCF of Fractions 6246/938,9372/5186 is 6/2432234
Least Common Multiple of 938,5186 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 938,5186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,5186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,5186) x common factors =2 x 1 = 2
LCM(938,5186) = ( 938 × 5186 ) / 2
LCM(938,5186) = 4864468 / 2
LCM(938,5186) = 2432234
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6246/938, 9372/5186
1. What is the HCF of 6246,9372?
The HCF of 6246,9372 is 6
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 6246/938, 9372/5186?
Answer: GCF of Numerators as per given numbers 6246/938, 9372/5186 is
GCF of Numerators i.e. for 6246,9372 is 6
LCM of denominators i.e. for 938,5186 is 2432234.
Thus, GCF of Fractions is 6/2432234.Finally, GCF of Fractions for 6246/938, 9372/5186 is 6/2432234.