GCF of 8206/994, 6848/2264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8206/994, 6848/2264 i.e 2/1125208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8206/994, 6848/2264.
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 8206/994,6848/2264?
Given fractions are 8206/994,6848/2264
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 8206/994,6848/2264, numerators are 8206,6848
Denominators are 994,2264
The GCF of 8206,6848 is 2 .
LCM of 994,2264 is 1125208.
The greatest common factor of 8206/994,6848/2264 = [GCF of 8206,6848]/[LCM of 994,2264]= 2/1125208
Therefore, the GCF of 8206/994,6848/2264 is 2/1125208.
To find the highest common factor of 8206,6848, we have to find the factors of both numbers and list the highest common factor.
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The HCF of 8206,6848 is 2.
Lets's calculate GCF of 8206,6848
| 2 | 8206, 6848 |
| 4103, 3424 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8206,6848 By Matching Biggest Common Factor Method
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 8206,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,6848 is 2.
Lets's calculate LCM of 994,2264
| 2 | 994, 2264 |
| 497, 1132 |
∴ So the LCM of the given numbers is 2 x 497 x 1132 = 1125208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1125208
Therefore, the GCF of Fractions 8206/994,6848/2264 is 2/1125208
Least Common Multiple of 994,2264 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 994,2264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,2264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,2264) x common factors =2 x 1 = 2
LCM(994,2264) = ( 994 × 2264 ) / 2
LCM(994,2264) = 2250416 / 2
LCM(994,2264) = 1125208
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FAQs on GCF of Fractions of 8206/994, 6848/2264
1. What is the HCF of 8206,6848?
The HCF of 8206,6848 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 8206/994, 6848/2264?
Answer: GCF of Numerators as per given numbers 8206/994, 6848/2264 is
GCF of Numerators i.e. for 8206,6848 is 2
LCM of denominators i.e. for 994,2264 is 1125208.
Thus, GCF of Fractions is 2/1125208.Finally, GCF of Fractions for 8206/994, 6848/2264 is 2/1125208.