GCF of 4308/818, 4164/7964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4308/818, 4164/7964 i.e 12/3257276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4308/818, 4164/7964.
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 4308/818,4164/7964?
Given fractions are 4308/818,4164/7964
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 4308/818,4164/7964, numerators are 4308,4164
Denominators are 818,7964
The GCF of 4308,4164 is 12 .
LCM of 818,7964 is 3257276.
The greatest common factor of 4308/818,4164/7964 = [GCF of 4308,4164]/[LCM of 818,7964]= 12/3257276
Therefore, the GCF of 4308/818,4164/7964 is 12/3257276.
To find the highest common factor of 4308,4164, we have to find the factors of both numbers and list the highest common factor.
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164
The HCF of 4308,4164 is 12.
Lets's calculate GCF of 4308,4164
| 2 | 4308, 4164 |
| 2 | 2154, 2082 |
| 3 | 1077, 1041 |
| 359, 347 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4308,4164 By Matching Biggest Common Factor Method
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Now, list down the factors of 4164
:1,2,3,4,6,12,347,694,1041,1388,2082,4164
Greatest Common Factor
We found the factors 4308,4164 . The biggest common factor number is the GCF number.
So the greatest common factor 4308,4164 is 12.
Lets's calculate LCM of 818,7964
| 2 | 818, 7964 |
| 409, 3982 |
∴ So the LCM of the given numbers is 2 x 409 x 3982 = 3257276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3257276
Therefore, the GCF of Fractions 4308/818,4164/7964 is 12/3257276
Least Common Multiple of 818,7964 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 818,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,7964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,7964) x common factors =2 x 1 = 2
LCM(818,7964) = ( 818 × 7964 ) / 2
LCM(818,7964) = 6514552 / 2
LCM(818,7964) = 3257276
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FAQs on GCF of Fractions of 4308/818, 4164/7964
1. What is the HCF of 4308,4164?
The HCF of 4308,4164 is 12
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 4308/818, 4164/7964?
Answer: GCF of Numerators as per given numbers 4308/818, 4164/7964 is
GCF of Numerators i.e. for 4308,4164 is 12
LCM of denominators i.e. for 818,7964 is 3257276.
Thus, GCF of Fractions is 12/3257276.Finally, GCF of Fractions for 4308/818, 4164/7964 is 12/3257276.