GCF of 3104/333, 8609/4218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3104/333, 8609/4218 i.e 1/12654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3104/333, 8609/4218.
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 3104/333,8609/4218?
Given fractions are 3104/333,8609/4218
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 3104/333,8609/4218, numerators are 3104,8609
Denominators are 333,4218
The GCF of 3104,8609 is 1 .
LCM of 333,4218 is 12654.
The greatest common factor of 3104/333,8609/4218 = [GCF of 3104,8609]/[LCM of 333,4218]= 1/12654
Therefore, the GCF of 3104/333,8609/4218 is 1/12654.
To find the highest common factor of 3104,8609, we have to find the factors of both numbers and list the highest common factor.
The factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
The factors of 8609 are 1, 8609
The HCF of 3104,8609 is 1.
Lets's calculate GCF of 3104,8609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3104,8609 By Matching Biggest Common Factor Method
Now, list down the factors of 3104
:1,2,4,8,16,32,97,194,388,776,1552,3104
Now, list down the factors of 8609
:1,8609
Greatest Common Factor
We found the factors 3104,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 3104,8609 is 1.
Lets's calculate LCM of 333,4218
| 3 | 333, 4218 |
| 37 | 111, 1406 |
| 3, 38 |
∴ So the LCM of the given numbers is 3 x 37 x 3 x 38 = 12654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12654
Therefore, the GCF of Fractions 3104/333,8609/4218 is 1/12654
Least Common Multiple of 333,4218 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 333,4218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,4218) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(333,4218) x common factors =111 x 1 = 111
LCM(333,4218) = ( 333 × 4218 ) / 111
LCM(333,4218) = 1404594 / 111
LCM(333,4218) = 12654
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FAQs on GCF of Fractions of 3104/333, 8609/4218
1. What is the HCF of 3104,8609?
The HCF of 3104,8609 is 1
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 3104/333, 8609/4218?
Answer: GCF of Numerators as per given numbers 3104/333, 8609/4218 is
GCF of Numerators i.e. for 3104,8609 is 1
LCM of denominators i.e. for 333,4218 is 12654.
Thus, GCF of Fractions is 1/12654.Finally, GCF of Fractions for 3104/333, 8609/4218 is 1/12654.