GCF of 2911/222, 1686/8196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2911/222, 1686/8196 i.e 1/303252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2911/222, 1686/8196.
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 2911/222,1686/8196?
Given fractions are 2911/222,1686/8196
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 2911/222,1686/8196, numerators are 2911,1686
Denominators are 222,8196
The GCF of 2911,1686 is 1 .
LCM of 222,8196 is 303252.
The greatest common factor of 2911/222,1686/8196 = [GCF of 2911,1686]/[LCM of 222,8196]= 1/303252
Therefore, the GCF of 2911/222,1686/8196 is 1/303252.
To find the highest common factor of 2911,1686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2911 are 1, 41, 71, 2911
The factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686
The HCF of 2911,1686 is 1.
Lets's calculate GCF of 2911,1686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2911,1686 By Matching Biggest Common Factor Method
Now, list down the factors of 2911
:1,41,71,2911
Now, list down the factors of 1686
:1,2,3,6,281,562,843,1686
Greatest Common Factor
We found the factors 2911,1686 . The biggest common factor number is the GCF number.
So the greatest common factor 2911,1686 is 1.
Lets's calculate LCM of 222,8196
| 2 | 222, 8196 |
| 3 | 111, 4098 |
| 37, 1366 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 1366 = 303252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303252
Therefore, the GCF of Fractions 2911/222,1686/8196 is 1/303252
Least Common Multiple of 222,8196 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 222,8196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,8196) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,8196) x common factors =6 x 1 = 6
LCM(222,8196) = ( 222 × 8196 ) / 6
LCM(222,8196) = 1819512 / 6
LCM(222,8196) = 303252
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FAQs on GCF of Fractions of 2911/222, 1686/8196
1. What is the HCF of 2911,1686?
The HCF of 2911,1686 is 1
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 2911/222, 1686/8196?
Answer: GCF of Numerators as per given numbers 2911/222, 1686/8196 is
GCF of Numerators i.e. for 2911,1686 is 1
LCM of denominators i.e. for 222,8196 is 303252.
Thus, GCF of Fractions is 1/303252.Finally, GCF of Fractions for 2911/222, 1686/8196 is 1/303252.