GCF of 4503/322, 3138/7487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4503/322, 3138/7487 i.e 3/2410814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4503/322, 3138/7487.
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 4503/322,3138/7487?
Given fractions are 4503/322,3138/7487
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 4503/322,3138/7487, numerators are 4503,3138
Denominators are 322,7487
The GCF of 4503,3138 is 3 .
LCM of 322,7487 is 2410814.
The greatest common factor of 4503/322,3138/7487 = [GCF of 4503,3138]/[LCM of 322,7487]= 3/2410814
Therefore, the GCF of 4503/322,3138/7487 is 3/2410814.
To find the highest common factor of 4503,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 4503,3138 is 3.
Lets's calculate GCF of 4503,3138
| 3 | 4503, 3138 |
| 1501, 1046 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4503,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 4503,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 4503,3138 is 3.
Lets's calculate LCM of 322,7487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2410814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2410814
Therefore, the GCF of Fractions 4503/322,3138/7487 is 3/2410814
Least Common Multiple of 322,7487 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 322,7487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7487) x common factors =1 x 1 = 1
LCM(322,7487) = ( 322 × 7487 ) / 1
LCM(322,7487) = 2410814 / 1
LCM(322,7487) = 2410814
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FAQs on GCF of Fractions of 4503/322, 3138/7487
1. What is the HCF of 4503,3138?
The HCF of 4503,3138 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 4503/322, 3138/7487?
Answer: GCF of Numerators as per given numbers 4503/322, 3138/7487 is
GCF of Numerators i.e. for 4503,3138 is 3
LCM of denominators i.e. for 322,7487 is 2410814.
Thus, GCF of Fractions is 3/2410814.Finally, GCF of Fractions for 4503/322, 3138/7487 is 3/2410814.