GCF of 4251/806, 6735/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4251/806, 6735/217 i.e 3/5642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4251/806, 6735/217.
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 4251/806,6735/217?
Given fractions are 4251/806,6735/217
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 4251/806,6735/217, numerators are 4251,6735
Denominators are 806,217
The GCF of 4251,6735 is 3 .
LCM of 806,217 is 5642.
The greatest common factor of 4251/806,6735/217 = [GCF of 4251,6735]/[LCM of 806,217]= 3/5642
Therefore, the GCF of 4251/806,6735/217 is 3/5642.
To find the highest common factor of 4251,6735, we have to find the factors of both numbers and list the highest common factor.
The factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251
The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735
The HCF of 4251,6735 is 3.
Lets's calculate GCF of 4251,6735
| 3 | 4251, 6735 |
| 1417, 2245 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4251,6735 By Matching Biggest Common Factor Method
Now, list down the factors of 4251
:1,3,13,39,109,327,1417,4251
Now, list down the factors of 6735
:1,3,5,15,449,1347,2245,6735
Greatest Common Factor
We found the factors 4251,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 4251,6735 is 3.
Lets's calculate LCM of 806,217
| 31 | 806, 217 |
| 26, 7 |
∴ So the LCM of the given numbers is 31 x 26 x 7 = 5642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5642
Therefore, the GCF of Fractions 4251/806,6735/217 is 3/5642
Least Common Multiple of 806,217 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 806,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,217) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(806,217) x common factors =31 x 1 = 31
LCM(806,217) = ( 806 × 217 ) / 31
LCM(806,217) = 174902 / 31
LCM(806,217) = 5642
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FAQs on GCF of Fractions of 4251/806, 6735/217
1. What is the HCF of 4251,6735?
The HCF of 4251,6735 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 4251/806, 6735/217?
Answer: GCF of Numerators as per given numbers 4251/806, 6735/217 is
GCF of Numerators i.e. for 4251,6735 is 3
LCM of denominators i.e. for 806,217 is 5642.
Thus, GCF of Fractions is 3/5642.Finally, GCF of Fractions for 4251/806, 6735/217 is 3/5642.