GCF of 4092/206, 8138/8461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4092/206, 8138/8461 i.e 2/1742966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4092/206, 8138/8461.
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 4092/206,8138/8461?
Given fractions are 4092/206,8138/8461
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 4092/206,8138/8461, numerators are 4092,8138
Denominators are 206,8461
The GCF of 4092,8138 is 2 .
LCM of 206,8461 is 1742966.
The greatest common factor of 4092/206,8138/8461 = [GCF of 4092,8138]/[LCM of 206,8461]= 2/1742966
Therefore, the GCF of 4092/206,8138/8461 is 2/1742966.
To find the highest common factor of 4092,8138, we have to find the factors of both numbers and list the highest common factor.
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138
The HCF of 4092,8138 is 2.
Lets's calculate GCF of 4092,8138
| 2 | 4092, 8138 |
| 2046, 4069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4092,8138 By Matching Biggest Common Factor Method
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Now, list down the factors of 8138
:1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 4092,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 4092,8138 is 2.
Lets's calculate LCM of 206,8461
Given numbers has no common factors except 1. So, there LCM is their product i.e 1742966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1742966
Therefore, the GCF of Fractions 4092/206,8138/8461 is 2/1742966
Least Common Multiple of 206,8461 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 206,8461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8461) x common factors =1 x 1 = 1
LCM(206,8461) = ( 206 × 8461 ) / 1
LCM(206,8461) = 1742966 / 1
LCM(206,8461) = 1742966
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4092/206, 8138/8461
1. What is the HCF of 4092,8138?
The HCF of 4092,8138 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 4092/206, 8138/8461?
Answer: GCF of Numerators as per given numbers 4092/206, 8138/8461 is
GCF of Numerators i.e. for 4092,8138 is 2
LCM of denominators i.e. for 206,8461 is 1742966.
Thus, GCF of Fractions is 2/1742966.Finally, GCF of Fractions for 4092/206, 8138/8461 is 2/1742966.