GCF of 8246/103, 5664/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8246/103, 5664/2146 i.e 2/221038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8246/103, 5664/2146.
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 8246/103,5664/2146?
Given fractions are 8246/103,5664/2146
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 8246/103,5664/2146, numerators are 8246,5664
Denominators are 103,2146
The GCF of 8246,5664 is 2 .
LCM of 103,2146 is 221038.
The greatest common factor of 8246/103,5664/2146 = [GCF of 8246,5664]/[LCM of 103,2146]= 2/221038
Therefore, the GCF of 8246/103,5664/2146 is 2/221038.
To find the highest common factor of 8246,5664, 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 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The HCF of 8246,5664 is 2.
Lets's calculate GCF of 8246,5664
| 2 | 8246, 5664 |
| 4123, 2832 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8246,5664 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 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 8246,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 8246,5664 is 2.
Lets's calculate LCM of 103,2146
Given numbers has no common factors except 1. So, there LCM is their product i.e 221038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221038
Therefore, the GCF of Fractions 8246/103,5664/2146 is 2/221038
Least Common Multiple of 103,2146 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 103,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,2146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,2146) x common factors =1 x 1 = 1
LCM(103,2146) = ( 103 × 2146 ) / 1
LCM(103,2146) = 221038 / 1
LCM(103,2146) = 221038
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FAQs on GCF of Fractions of 8246/103, 5664/2146
1. What is the HCF of 8246,5664?
The HCF of 8246,5664 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 8246/103, 5664/2146?
Answer: GCF of Numerators as per given numbers 8246/103, 5664/2146 is
GCF of Numerators i.e. for 8246,5664 is 2
LCM of denominators i.e. for 103,2146 is 221038.
Thus, GCF of Fractions is 2/221038.Finally, GCF of Fractions for 8246/103, 5664/2146 is 2/221038.