GCF of 9012/349, 3848/2712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9012/349, 3848/2712 i.e 4/946488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9012/349, 3848/2712.
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 9012/349,3848/2712?
Given fractions are 9012/349,3848/2712
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 9012/349,3848/2712, numerators are 9012,3848
Denominators are 349,2712
The GCF of 9012,3848 is 4 .
LCM of 349,2712 is 946488.
The greatest common factor of 9012/349,3848/2712 = [GCF of 9012,3848]/[LCM of 349,2712]= 4/946488
Therefore, the GCF of 9012/349,3848/2712 is 4/946488.
To find the highest common factor of 9012,3848, we have to find the factors of both numbers and list the highest common factor.
The factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012
The factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848
The HCF of 9012,3848 is 4.
Lets's calculate GCF of 9012,3848
| 2 | 9012, 3848 |
| 2 | 4506, 1924 |
| 2253, 962 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9012,3848 By Matching Biggest Common Factor Method
Now, list down the factors of 9012
:1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Now, list down the factors of 3848
:1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848
Greatest Common Factor
We found the factors 9012,3848 . The biggest common factor number is the GCF number.
So the greatest common factor 9012,3848 is 4.
Lets's calculate LCM of 349,2712
Given numbers has no common factors except 1. So, there LCM is their product i.e 946488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/946488
Therefore, the GCF of Fractions 9012/349,3848/2712 is 4/946488
Least Common Multiple of 349,2712 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 349,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,2712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,2712) x common factors =1 x 1 = 1
LCM(349,2712) = ( 349 × 2712 ) / 1
LCM(349,2712) = 946488 / 1
LCM(349,2712) = 946488
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FAQs on GCF of Fractions of 9012/349, 3848/2712
1. What is the HCF of 9012,3848?
The HCF of 9012,3848 is 4
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 9012/349, 3848/2712?
Answer: GCF of Numerators as per given numbers 9012/349, 3848/2712 is
GCF of Numerators i.e. for 9012,3848 is 4
LCM of denominators i.e. for 349,2712 is 946488.
Thus, GCF of Fractions is 4/946488.Finally, GCF of Fractions for 9012/349, 3848/2712 is 4/946488.