GCF of 4146/302, 5463/9696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4146/302, 5463/9696 i.e 3/1464096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4146/302, 5463/9696.
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 4146/302,5463/9696?
Given fractions are 4146/302,5463/9696
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 4146/302,5463/9696, numerators are 4146,5463
Denominators are 302,9696
The GCF of 4146,5463 is 3 .
LCM of 302,9696 is 1464096.
The greatest common factor of 4146/302,5463/9696 = [GCF of 4146,5463]/[LCM of 302,9696]= 3/1464096
Therefore, the GCF of 4146/302,5463/9696 is 3/1464096.
To find the highest common factor of 4146,5463, we have to find the factors of both numbers and list the highest common factor.
The factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The HCF of 4146,5463 is 3.
Lets's calculate GCF of 4146,5463
| 3 | 4146, 5463 |
| 1382, 1821 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4146,5463 By Matching Biggest Common Factor Method
Now, list down the factors of 4146
:1,2,3,6,691,1382,2073,4146
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 4146,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 4146,5463 is 3.
Lets's calculate LCM of 302,9696
| 2 | 302, 9696 |
| 151, 4848 |
∴ So the LCM of the given numbers is 2 x 151 x 4848 = 1464096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1464096
Therefore, the GCF of Fractions 4146/302,5463/9696 is 3/1464096
Least Common Multiple of 302,9696 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 302,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,9696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,9696) x common factors =2 x 1 = 2
LCM(302,9696) = ( 302 × 9696 ) / 2
LCM(302,9696) = 2928192 / 2
LCM(302,9696) = 1464096
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FAQs on GCF of Fractions of 4146/302, 5463/9696
1. What is the HCF of 4146,5463?
The HCF of 4146,5463 is 3
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 4146/302, 5463/9696?
Answer: GCF of Numerators as per given numbers 4146/302, 5463/9696 is
GCF of Numerators i.e. for 4146,5463 is 3
LCM of denominators i.e. for 302,9696 is 1464096.
Thus, GCF of Fractions is 3/1464096.Finally, GCF of Fractions for 4146/302, 5463/9696 is 3/1464096.