GCF of 8235/814, 3651/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8235/814, 3651/767 i.e 3/624338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8235/814, 3651/767.
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 8235/814,3651/767?
Given fractions are 8235/814,3651/767
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 8235/814,3651/767, numerators are 8235,3651
Denominators are 814,767
The GCF of 8235,3651 is 3 .
LCM of 814,767 is 624338.
The greatest common factor of 8235/814,3651/767 = [GCF of 8235,3651]/[LCM of 814,767]= 3/624338
Therefore, the GCF of 8235/814,3651/767 is 3/624338.
To find the highest common factor of 8235,3651, we have to find the factors of both numbers and list the highest common factor.
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The factors of 3651 are 1, 3, 1217, 3651
The HCF of 8235,3651 is 3.
Lets's calculate GCF of 8235,3651
| 3 | 8235, 3651 |
| 2745, 1217 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8235,3651 By Matching Biggest Common Factor Method
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Now, list down the factors of 3651
:1,3,1217,3651
Greatest Common Factor
We found the factors 8235,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 8235,3651 is 3.
Lets's calculate LCM of 814,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 624338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/624338
Therefore, the GCF of Fractions 8235/814,3651/767 is 3/624338
Least Common Multiple of 814,767 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 814,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,767) x common factors =1 x 1 = 1
LCM(814,767) = ( 814 × 767 ) / 1
LCM(814,767) = 624338 / 1
LCM(814,767) = 624338
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FAQs on GCF of Fractions of 8235/814, 3651/767
1. What is the HCF of 8235,3651?
The HCF of 8235,3651 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 8235/814, 3651/767?
Answer: GCF of Numerators as per given numbers 8235/814, 3651/767 is
GCF of Numerators i.e. for 8235,3651 is 3
LCM of denominators i.e. for 814,767 is 624338.
Thus, GCF of Fractions is 3/624338.Finally, GCF of Fractions for 8235/814, 3651/767 is 3/624338.