GCF of 2448/769, 9366/4712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2448/769, 9366/4712 i.e 6/3623528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2448/769, 9366/4712.
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 2448/769,9366/4712?
Given fractions are 2448/769,9366/4712
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 2448/769,9366/4712, numerators are 2448,9366
Denominators are 769,4712
The GCF of 2448,9366 is 6 .
LCM of 769,4712 is 3623528.
The greatest common factor of 2448/769,9366/4712 = [GCF of 2448,9366]/[LCM of 769,4712]= 6/3623528
Therefore, the GCF of 2448/769,9366/4712 is 6/3623528.
To find the highest common factor of 2448,9366, we have to find the factors of both numbers and list the highest common factor.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366
The HCF of 2448,9366 is 6.
Lets's calculate GCF of 2448,9366
| 2 | 2448, 9366 |
| 3 | 1224, 4683 |
| 408, 1561 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2448,9366 By Matching Biggest Common Factor Method
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Now, list down the factors of 9366
:1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Greatest Common Factor
We found the factors 2448,9366 . The biggest common factor number is the GCF number.
So the greatest common factor 2448,9366 is 6.
Lets's calculate LCM of 769,4712
Given numbers has no common factors except 1. So, there LCM is their product i.e 3623528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3623528
Therefore, the GCF of Fractions 2448/769,9366/4712 is 6/3623528
Least Common Multiple of 769,4712 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 769,4712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,4712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,4712) x common factors =1 x 1 = 1
LCM(769,4712) = ( 769 × 4712 ) / 1
LCM(769,4712) = 3623528 / 1
LCM(769,4712) = 3623528
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FAQs on GCF of Fractions of 2448/769, 9366/4712
1. What is the HCF of 2448,9366?
The HCF of 2448,9366 is 6
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 2448/769, 9366/4712?
Answer: GCF of Numerators as per given numbers 2448/769, 9366/4712 is
GCF of Numerators i.e. for 2448,9366 is 6
LCM of denominators i.e. for 769,4712 is 3623528.
Thus, GCF of Fractions is 6/3623528.Finally, GCF of Fractions for 2448/769, 9366/4712 is 6/3623528.