GCF of 8308/733, 4218/3014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8308/733, 4218/3014 i.e 2/2209262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8308/733, 4218/3014.
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 8308/733,4218/3014?
Given fractions are 8308/733,4218/3014
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 8308/733,4218/3014, numerators are 8308,4218
Denominators are 733,3014
The GCF of 8308,4218 is 2 .
LCM of 733,3014 is 2209262.
The greatest common factor of 8308/733,4218/3014 = [GCF of 8308,4218]/[LCM of 733,3014]= 2/2209262
Therefore, the GCF of 8308/733,4218/3014 is 2/2209262.
To find the highest common factor of 8308,4218, we have to find the factors of both numbers and list the highest common factor.
The factors of 8308 are 1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308
The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The HCF of 8308,4218 is 2.
Lets's calculate GCF of 8308,4218
| 2 | 8308, 4218 |
| 4154, 2109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8308,4218 By Matching Biggest Common Factor Method
Now, list down the factors of 8308
:1,2,4,31,62,67,124,134,268,2077,4154,8308
Now, list down the factors of 4218
:1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors 8308,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 8308,4218 is 2.
Lets's calculate LCM of 733,3014
Given numbers has no common factors except 1. So, there LCM is their product i.e 2209262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2209262
Therefore, the GCF of Fractions 8308/733,4218/3014 is 2/2209262
Least Common Multiple of 733,3014 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 733,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,3014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,3014) x common factors =1 x 1 = 1
LCM(733,3014) = ( 733 × 3014 ) / 1
LCM(733,3014) = 2209262 / 1
LCM(733,3014) = 2209262
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FAQs on GCF of Fractions of 8308/733, 4218/3014
1. What is the HCF of 8308,4218?
The HCF of 8308,4218 is 2
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 8308/733, 4218/3014?
Answer: GCF of Numerators as per given numbers 8308/733, 4218/3014 is
GCF of Numerators i.e. for 8308,4218 is 2
LCM of denominators i.e. for 733,3014 is 2209262.
Thus, GCF of Fractions is 2/2209262.Finally, GCF of Fractions for 8308/733, 4218/3014 is 2/2209262.