GCF of 3936/838, 8214/4222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3936/838, 8214/4222 i.e 6/1769018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3936/838, 8214/4222.
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 3936/838,8214/4222?
Given fractions are 3936/838,8214/4222
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 3936/838,8214/4222, numerators are 3936,8214
Denominators are 838,4222
The GCF of 3936,8214 is 6 .
LCM of 838,4222 is 1769018.
The greatest common factor of 3936/838,8214/4222 = [GCF of 3936,8214]/[LCM of 838,4222]= 6/1769018
Therefore, the GCF of 3936/838,8214/4222 is 6/1769018.
To find the highest common factor of 3936,8214, we have to find the factors of both numbers and list the highest common factor.
The factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936
The factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214
The HCF of 3936,8214 is 6.
Lets's calculate GCF of 3936,8214
| 2 | 3936, 8214 |
| 3 | 1968, 4107 |
| 656, 1369 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3936,8214 By Matching Biggest Common Factor Method
Now, list down the factors of 3936
:1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936
Now, list down the factors of 8214
:1,2,3,6,37,74,111,222,1369,2738,4107,8214
Greatest Common Factor
We found the factors 3936,8214 . The biggest common factor number is the GCF number.
So the greatest common factor 3936,8214 is 6.
Lets's calculate LCM of 838,4222
| 2 | 838, 4222 |
| 419, 2111 |
∴ So the LCM of the given numbers is 2 x 419 x 2111 = 1769018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1769018
Therefore, the GCF of Fractions 3936/838,8214/4222 is 6/1769018
Least Common Multiple of 838,4222 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 838,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4222) x common factors =2 x 1 = 2
LCM(838,4222) = ( 838 × 4222 ) / 2
LCM(838,4222) = 3538036 / 2
LCM(838,4222) = 1769018
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FAQs on GCF of Fractions of 3936/838, 8214/4222
1. What is the HCF of 3936,8214?
The HCF of 3936,8214 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 3936/838, 8214/4222?
Answer: GCF of Numerators as per given numbers 3936/838, 8214/4222 is
GCF of Numerators i.e. for 3936,8214 is 6
LCM of denominators i.e. for 838,4222 is 1769018.
Thus, GCF of Fractions is 6/1769018.Finally, GCF of Fractions for 3936/838, 8214/4222 is 6/1769018.