GCF of 3771/806, 5763/8004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3771/806, 5763/8004 i.e 3/3225612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3771/806, 5763/8004.
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 3771/806,5763/8004?
Given fractions are 3771/806,5763/8004
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 3771/806,5763/8004, numerators are 3771,5763
Denominators are 806,8004
The GCF of 3771,5763 is 3 .
LCM of 806,8004 is 3225612.
The greatest common factor of 3771/806,5763/8004 = [GCF of 3771,5763]/[LCM of 806,8004]= 3/3225612
Therefore, the GCF of 3771/806,5763/8004 is 3/3225612.
To find the highest common factor of 3771,5763, we have to find the factors of both numbers and list the highest common factor.
The factors of 3771 are 1, 3, 9, 419, 1257, 3771
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The HCF of 3771,5763 is 3.
Lets's calculate GCF of 3771,5763
| 3 | 3771, 5763 |
| 1257, 1921 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3771,5763 By Matching Biggest Common Factor Method
Now, list down the factors of 3771
:1,3,9,419,1257,3771
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Greatest Common Factor
We found the factors 3771,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 3771,5763 is 3.
Lets's calculate LCM of 806,8004
| 2 | 806, 8004 |
| 403, 4002 |
∴ So the LCM of the given numbers is 2 x 403 x 4002 = 3225612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3225612
Therefore, the GCF of Fractions 3771/806,5763/8004 is 3/3225612
Least Common Multiple of 806,8004 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 806,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,8004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,8004) x common factors =2 x 1 = 2
LCM(806,8004) = ( 806 × 8004 ) / 2
LCM(806,8004) = 6451224 / 2
LCM(806,8004) = 3225612
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FAQs on GCF of Fractions of 3771/806, 5763/8004
1. What is the HCF of 3771,5763?
The HCF of 3771,5763 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 3771/806, 5763/8004?
Answer: GCF of Numerators as per given numbers 3771/806, 5763/8004 is
GCF of Numerators i.e. for 3771,5763 is 3
LCM of denominators i.e. for 806,8004 is 3225612.
Thus, GCF of Fractions is 3/3225612.Finally, GCF of Fractions for 3771/806, 5763/8004 is 3/3225612.