GCF of 8194/686, 1666/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8194/686, 1666/135 i.e 34/92610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8194/686, 1666/135.
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 8194/686,1666/135?
Given fractions are 8194/686,1666/135
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 8194/686,1666/135, numerators are 8194,1666
Denominators are 686,135
The GCF of 8194,1666 is 34 .
LCM of 686,135 is 92610.
The greatest common factor of 8194/686,1666/135 = [GCF of 8194,1666]/[LCM of 686,135]= 34/92610
Therefore, the GCF of 8194/686,1666/135 is 34/92610.
To find the highest common factor of 8194,1666, we have to find the factors of both numbers and list the highest common factor.
The factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194
The factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
The HCF of 8194,1666 is 34.
Lets's calculate GCF of 8194,1666
| 2 | 8194, 1666 |
| 17 | 4097, 833 |
| 241, 49 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8194,1666 By Matching Biggest Common Factor Method
Now, list down the factors of 8194
:1,2,17,34,241,482,4097,8194
Now, list down the factors of 1666
:1,2,7,14,17,34,49,98,119,238,833,1666
Greatest Common Factor
We found the factors 8194,1666 . The biggest common factor number is the GCF number.
So the greatest common factor 8194,1666 is 34.
Lets's calculate LCM of 686,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 92610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/92610
Therefore, the GCF of Fractions 8194/686,1666/135 is 34/92610
Least Common Multiple of 686,135 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 686,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,135) x common factors =1 x 1 = 1
LCM(686,135) = ( 686 × 135 ) / 1
LCM(686,135) = 92610 / 1
LCM(686,135) = 92610
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FAQs on GCF of Fractions of 8194/686, 1666/135
1. What is the HCF of 8194,1666?
The HCF of 8194,1666 is 34
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 8194/686, 1666/135?
Answer: GCF of Numerators as per given numbers 8194/686, 1666/135 is
GCF of Numerators i.e. for 8194,1666 is 34
LCM of denominators i.e. for 686,135 is 92610.
Thus, GCF of Fractions is 34/92610.Finally, GCF of Fractions for 8194/686, 1666/135 is 34/92610.