GCF of 4483/725, 3215/1189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4483/725, 3215/1189 i.e 1/29725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4483/725, 3215/1189.
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 4483/725,3215/1189?
Given fractions are 4483/725,3215/1189
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 4483/725,3215/1189, numerators are 4483,3215
Denominators are 725,1189
The GCF of 4483,3215 is 1 .
LCM of 725,1189 is 29725.
The greatest common factor of 4483/725,3215/1189 = [GCF of 4483,3215]/[LCM of 725,1189]= 1/29725
Therefore, the GCF of 4483/725,3215/1189 is 1/29725.
To find the highest common factor of 4483,3215, we have to find the factors of both numbers and list the highest common factor.
The factors of 4483 are 1, 4483
The factors of 3215 are 1, 5, 643, 3215
The HCF of 4483,3215 is 1.
Lets's calculate GCF of 4483,3215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4483,3215 By Matching Biggest Common Factor Method
Now, list down the factors of 4483
:1,4483
Now, list down the factors of 3215
:1,5,643,3215
Greatest Common Factor
We found the factors 4483,3215 . The biggest common factor number is the GCF number.
So the greatest common factor 4483,3215 is 1.
Lets's calculate LCM of 725,1189
| 29 | 725, 1189 |
| 25, 41 |
∴ So the LCM of the given numbers is 29 x 25 x 41 = 29725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29725
Therefore, the GCF of Fractions 4483/725,3215/1189 is 1/29725
Least Common Multiple of 725,1189 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 725,1189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,1189) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(725,1189) x common factors =29 x 1 = 29
LCM(725,1189) = ( 725 × 1189 ) / 29
LCM(725,1189) = 862025 / 29
LCM(725,1189) = 29725
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FAQs on GCF of Fractions of 4483/725, 3215/1189
1. What is the HCF of 4483,3215?
The HCF of 4483,3215 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 4483/725, 3215/1189?
Answer: GCF of Numerators as per given numbers 4483/725, 3215/1189 is
GCF of Numerators i.e. for 4483,3215 is 1
LCM of denominators i.e. for 725,1189 is 29725.
Thus, GCF of Fractions is 1/29725.Finally, GCF of Fractions for 4483/725, 3215/1189 is 1/29725.