GCF of 7182/474, 4503/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7182/474, 4503/458 i.e 57/108546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7182/474, 4503/458.
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 7182/474,4503/458?
Given fractions are 7182/474,4503/458
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 7182/474,4503/458, numerators are 7182,4503
Denominators are 474,458
The GCF of 7182,4503 is 57 .
LCM of 474,458 is 108546.
The greatest common factor of 7182/474,4503/458 = [GCF of 7182,4503]/[LCM of 474,458]= 57/108546
Therefore, the GCF of 7182/474,4503/458 is 57/108546.
To find the highest common factor of 7182,4503, we have to find the factors of both numbers and list the highest common factor.
The factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The HCF of 7182,4503 is 57.
Lets's calculate GCF of 7182,4503
| 3 | 7182, 4503 |
| 19 | 2394, 1501 |
| 126, 79 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 7182,4503 By Matching Biggest Common Factor Method
Now, list down the factors of 7182
:1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Greatest Common Factor
We found the factors 7182,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 7182,4503 is 57.
Lets's calculate LCM of 474,458
| 2 | 474, 458 |
| 237, 229 |
∴ So the LCM of the given numbers is 2 x 237 x 229 = 108546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/108546
Therefore, the GCF of Fractions 7182/474,4503/458 is 57/108546
Least Common Multiple of 474,458 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 474,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,458) x common factors =2 x 1 = 2
LCM(474,458) = ( 474 × 458 ) / 2
LCM(474,458) = 217092 / 2
LCM(474,458) = 108546
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7182/474, 4503/458
1. What is the HCF of 7182,4503?
The HCF of 7182,4503 is 57
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 7182/474, 4503/458?
Answer: GCF of Numerators as per given numbers 7182/474, 4503/458 is
GCF of Numerators i.e. for 7182,4503 is 57
LCM of denominators i.e. for 474,458 is 108546.
Thus, GCF of Fractions is 57/108546.Finally, GCF of Fractions for 7182/474, 4503/458 is 57/108546.