GCF of 3172/303, 2438/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3172/303, 2438/483 i.e 2/48783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3172/303, 2438/483.
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 3172/303,2438/483?
Given fractions are 3172/303,2438/483
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 3172/303,2438/483, numerators are 3172,2438
Denominators are 303,483
The GCF of 3172,2438 is 2 .
LCM of 303,483 is 48783.
The greatest common factor of 3172/303,2438/483 = [GCF of 3172,2438]/[LCM of 303,483]= 2/48783
Therefore, the GCF of 3172/303,2438/483 is 2/48783.
To find the highest common factor of 3172,2438, we have to find the factors of both numbers and list the highest common factor.
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438
The HCF of 3172,2438 is 2.
Lets's calculate GCF of 3172,2438
| 2 | 3172, 2438 |
| 1586, 1219 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3172,2438 By Matching Biggest Common Factor Method
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Now, list down the factors of 2438
:1,2,23,46,53,106,1219,2438
Greatest Common Factor
We found the factors 3172,2438 . The biggest common factor number is the GCF number.
So the greatest common factor 3172,2438 is 2.
Lets's calculate LCM of 303,483
| 3 | 303, 483 |
| 101, 161 |
∴ So the LCM of the given numbers is 3 x 101 x 161 = 48783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48783
Therefore, the GCF of Fractions 3172/303,2438/483 is 2/48783
Least Common Multiple of 303,483 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 303,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,483) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,483) x common factors =3 x 1 = 3
LCM(303,483) = ( 303 × 483 ) / 3
LCM(303,483) = 146349 / 3
LCM(303,483) = 48783
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FAQs on GCF of Fractions of 3172/303, 2438/483
1. What is the HCF of 3172,2438?
The HCF of 3172,2438 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 3172/303, 2438/483?
Answer: GCF of Numerators as per given numbers 3172/303, 2438/483 is
GCF of Numerators i.e. for 3172,2438 is 2
LCM of denominators i.e. for 303,483 is 48783.
Thus, GCF of Fractions is 2/48783.Finally, GCF of Fractions for 3172/303, 2438/483 is 2/48783.