GCF of 2503/120, 4566/3566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2503/120, 4566/3566 i.e 1/213960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2503/120, 4566/3566.
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 2503/120,4566/3566?
Given fractions are 2503/120,4566/3566
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 2503/120,4566/3566, numerators are 2503,4566
Denominators are 120,3566
The GCF of 2503,4566 is 1 .
LCM of 120,3566 is 213960.
The greatest common factor of 2503/120,4566/3566 = [GCF of 2503,4566]/[LCM of 120,3566]= 1/213960
Therefore, the GCF of 2503/120,4566/3566 is 1/213960.
To find the highest common factor of 2503,4566, we have to find the factors of both numbers and list the highest common factor.
The factors of 2503 are 1, 2503
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The HCF of 2503,4566 is 1.
Lets's calculate GCF of 2503,4566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2503,4566 By Matching Biggest Common Factor Method
Now, list down the factors of 2503
:1,2503
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 2503,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 2503,4566 is 1.
Lets's calculate LCM of 120,3566
| 2 | 120, 3566 |
| 60, 1783 |
∴ So the LCM of the given numbers is 2 x 60 x 1783 = 213960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213960
Therefore, the GCF of Fractions 2503/120,4566/3566 is 1/213960
Least Common Multiple of 120,3566 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 120,3566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,3566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,3566) x common factors =2 x 1 = 2
LCM(120,3566) = ( 120 × 3566 ) / 2
LCM(120,3566) = 427920 / 2
LCM(120,3566) = 213960
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FAQs on GCF of Fractions of 2503/120, 4566/3566
1. What is the HCF of 2503,4566?
The HCF of 2503,4566 is 1
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 2503/120, 4566/3566?
Answer: GCF of Numerators as per given numbers 2503/120, 4566/3566 is
GCF of Numerators i.e. for 2503,4566 is 1
LCM of denominators i.e. for 120,3566 is 213960.
Thus, GCF of Fractions is 1/213960.Finally, GCF of Fractions for 2503/120, 4566/3566 is 1/213960.