GCF of 3813/666, 6867/3997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3813/666, 6867/3997 i.e 3/2662002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3813/666, 6867/3997.
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 3813/666,6867/3997?
Given fractions are 3813/666,6867/3997
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 3813/666,6867/3997, numerators are 3813,6867
Denominators are 666,3997
The GCF of 3813,6867 is 3 .
LCM of 666,3997 is 2662002.
The greatest common factor of 3813/666,6867/3997 = [GCF of 3813,6867]/[LCM of 666,3997]= 3/2662002
Therefore, the GCF of 3813/666,6867/3997 is 3/2662002.
To find the highest common factor of 3813,6867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 3813,6867 is 3.
Lets's calculate GCF of 3813,6867
| 3 | 3813, 6867 |
| 1271, 2289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3813,6867 By Matching Biggest Common Factor Method
Now, list down the factors of 3813
:1,3,31,41,93,123,1271,3813
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 3813,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,6867 is 3.
Lets's calculate LCM of 666,3997
Given numbers has no common factors except 1. So, there LCM is their product i.e 2662002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2662002
Therefore, the GCF of Fractions 3813/666,6867/3997 is 3/2662002
Least Common Multiple of 666,3997 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 666,3997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,3997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,3997) x common factors =1 x 1 = 1
LCM(666,3997) = ( 666 × 3997 ) / 1
LCM(666,3997) = 2662002 / 1
LCM(666,3997) = 2662002
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FAQs on GCF of Fractions of 3813/666, 6867/3997
1. What is the HCF of 3813,6867?
The HCF of 3813,6867 is 3
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 3813/666, 6867/3997?
Answer: GCF of Numerators as per given numbers 3813/666, 6867/3997 is
GCF of Numerators i.e. for 3813,6867 is 3
LCM of denominators i.e. for 666,3997 is 2662002.
Thus, GCF of Fractions is 3/2662002.Finally, GCF of Fractions for 3813/666, 6867/3997 is 3/2662002.