GCF of 8086/768, 6140/9792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8086/768, 6140/9792 i.e 2/39168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8086/768, 6140/9792.
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 8086/768,6140/9792?
Given fractions are 8086/768,6140/9792
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 8086/768,6140/9792, numerators are 8086,6140
Denominators are 768,9792
The GCF of 8086,6140 is 2 .
LCM of 768,9792 is 39168.
The greatest common factor of 8086/768,6140/9792 = [GCF of 8086,6140]/[LCM of 768,9792]= 2/39168
Therefore, the GCF of 8086/768,6140/9792 is 2/39168.
To find the highest common factor of 8086,6140, we have to find the factors of both numbers and list the highest common factor.
The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The HCF of 8086,6140 is 2.
Lets's calculate GCF of 8086,6140
| 2 | 8086, 6140 |
| 4043, 3070 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8086,6140 By Matching Biggest Common Factor Method
Now, list down the factors of 8086
:1,2,13,26,311,622,4043,8086
Now, list down the factors of 6140
:1,2,4,5,10,20,307,614,1228,1535,3070,6140
Greatest Common Factor
We found the factors 8086,6140 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,6140 is 2.
Lets's calculate LCM of 768,9792
| 2 | 768, 9792 |
| 2 | 384, 4896 |
| 2 | 192, 2448 |
| 2 | 96, 1224 |
| 2 | 48, 612 |
| 2 | 24, 306 |
| 3 | 12, 153 |
| 4, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 4 x 51 = 39168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39168
Therefore, the GCF of Fractions 8086/768,6140/9792 is 2/39168
Least Common Multiple of 768,9792 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 768,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9792) = 192
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9792) x common factors =192 x 1 = 192
LCM(768,9792) = ( 768 × 9792 ) / 192
LCM(768,9792) = 7520256 / 192
LCM(768,9792) = 39168
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FAQs on GCF of Fractions of 8086/768, 6140/9792
1. What is the HCF of 8086,6140?
The HCF of 8086,6140 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 8086/768, 6140/9792?
Answer: GCF of Numerators as per given numbers 8086/768, 6140/9792 is
GCF of Numerators i.e. for 8086,6140 is 2
LCM of denominators i.e. for 768,9792 is 39168.
Thus, GCF of Fractions is 2/39168.Finally, GCF of Fractions for 8086/768, 6140/9792 is 2/39168.