GCF of 5013/215, 3525/3409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5013/215, 3525/3409 i.e 3/732935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5013/215, 3525/3409.
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 5013/215,3525/3409?
Given fractions are 5013/215,3525/3409
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 5013/215,3525/3409, numerators are 5013,3525
Denominators are 215,3409
The GCF of 5013,3525 is 3 .
LCM of 215,3409 is 732935.
The greatest common factor of 5013/215,3525/3409 = [GCF of 5013,3525]/[LCM of 215,3409]= 3/732935
Therefore, the GCF of 5013/215,3525/3409 is 3/732935.
To find the highest common factor of 5013,3525, we have to find the factors of both numbers and list the highest common factor.
The factors of 5013 are 1, 3, 9, 557, 1671, 5013
The factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525
The HCF of 5013,3525 is 3.
Lets's calculate GCF of 5013,3525
| 3 | 5013, 3525 |
| 1671, 1175 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5013,3525 By Matching Biggest Common Factor Method
Now, list down the factors of 5013
:1,3,9,557,1671,5013
Now, list down the factors of 3525
:1,3,5,15,25,47,75,141,235,705,1175,3525
Greatest Common Factor
We found the factors 5013,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 5013,3525 is 3.
Lets's calculate LCM of 215,3409
Given numbers has no common factors except 1. So, there LCM is their product i.e 732935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/732935
Therefore, the GCF of Fractions 5013/215,3525/3409 is 3/732935
Least Common Multiple of 215,3409 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 215,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,3409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,3409) x common factors =1 x 1 = 1
LCM(215,3409) = ( 215 × 3409 ) / 1
LCM(215,3409) = 732935 / 1
LCM(215,3409) = 732935
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FAQs on GCF of Fractions of 5013/215, 3525/3409
1. What is the HCF of 5013,3525?
The HCF of 5013,3525 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 5013/215, 3525/3409?
Answer: GCF of Numerators as per given numbers 5013/215, 3525/3409 is
GCF of Numerators i.e. for 5013,3525 is 3
LCM of denominators i.e. for 215,3409 is 732935.
Thus, GCF of Fractions is 3/732935.Finally, GCF of Fractions for 5013/215, 3525/3409 is 3/732935.