GCF of 8115/733, 8214/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8115/733, 8214/476 i.e 3/348908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8115/733, 8214/476.
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 8115/733,8214/476?
Given fractions are 8115/733,8214/476
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 8115/733,8214/476, numerators are 8115,8214
Denominators are 733,476
The GCF of 8115,8214 is 3 .
LCM of 733,476 is 348908.
The greatest common factor of 8115/733,8214/476 = [GCF of 8115,8214]/[LCM of 733,476]= 3/348908
Therefore, the GCF of 8115/733,8214/476 is 3/348908.
To find the highest common factor of 8115,8214, we have to find the factors of both numbers and list the highest common factor.
The factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115
The factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214
The HCF of 8115,8214 is 3.
Lets's calculate GCF of 8115,8214
| 3 | 8115, 8214 |
| 2705, 2738 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8115,8214 By Matching Biggest Common Factor Method
Now, list down the factors of 8115
:1,3,5,15,541,1623,2705,8115
Now, list down the factors of 8214
:1,2,3,6,37,74,111,222,1369,2738,4107,8214
Greatest Common Factor
We found the factors 8115,8214 . The biggest common factor number is the GCF number.
So the greatest common factor 8115,8214 is 3.
Lets's calculate LCM of 733,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 348908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/348908
Therefore, the GCF of Fractions 8115/733,8214/476 is 3/348908
Least Common Multiple of 733,476 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 733,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,476) x common factors =1 x 1 = 1
LCM(733,476) = ( 733 × 476 ) / 1
LCM(733,476) = 348908 / 1
LCM(733,476) = 348908
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FAQs on GCF of Fractions of 8115/733, 8214/476
1. What is the HCF of 8115,8214?
The HCF of 8115,8214 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 8115/733, 8214/476?
Answer: GCF of Numerators as per given numbers 8115/733, 8214/476 is
GCF of Numerators i.e. for 8115,8214 is 3
LCM of denominators i.e. for 733,476 is 348908.
Thus, GCF of Fractions is 3/348908.Finally, GCF of Fractions for 8115/733, 8214/476 is 3/348908.