GCF of 3615/147, 6205/2732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3615/147, 6205/2732 i.e 5/401604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3615/147, 6205/2732.
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 3615/147,6205/2732?
Given fractions are 3615/147,6205/2732
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 3615/147,6205/2732, numerators are 3615,6205
Denominators are 147,2732
The GCF of 3615,6205 is 5 .
LCM of 147,2732 is 401604.
The greatest common factor of 3615/147,6205/2732 = [GCF of 3615,6205]/[LCM of 147,2732]= 5/401604
Therefore, the GCF of 3615/147,6205/2732 is 5/401604.
To find the highest common factor of 3615,6205, we have to find the factors of both numbers and list the highest common factor.
The factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615
The factors of 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205
The HCF of 3615,6205 is 5.
Lets's calculate GCF of 3615,6205
| 5 | 3615, 6205 |
| 723, 1241 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3615,6205 By Matching Biggest Common Factor Method
Now, list down the factors of 3615
:1,3,5,15,241,723,1205,3615
Now, list down the factors of 6205
:1,5,17,73,85,365,1241,6205
Greatest Common Factor
We found the factors 3615,6205 . The biggest common factor number is the GCF number.
So the greatest common factor 3615,6205 is 5.
Lets's calculate LCM of 147,2732
Given numbers has no common factors except 1. So, there LCM is their product i.e 401604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/401604
Therefore, the GCF of Fractions 3615/147,6205/2732 is 5/401604
Least Common Multiple of 147,2732 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 147,2732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,2732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,2732) x common factors =1 x 1 = 1
LCM(147,2732) = ( 147 × 2732 ) / 1
LCM(147,2732) = 401604 / 1
LCM(147,2732) = 401604
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FAQs on GCF of Fractions of 3615/147, 6205/2732
1. What is the HCF of 3615,6205?
The HCF of 3615,6205 is 5
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 3615/147, 6205/2732?
Answer: GCF of Numerators as per given numbers 3615/147, 6205/2732 is
GCF of Numerators i.e. for 3615,6205 is 5
LCM of denominators i.e. for 147,2732 is 401604.
Thus, GCF of Fractions is 5/401604.Finally, GCF of Fractions for 3615/147, 6205/2732 is 5/401604.