GCF of 3415/615, 4745/3842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3415/615, 4745/3842 i.e 5/2362830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3415/615, 4745/3842.
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 3415/615,4745/3842?
Given fractions are 3415/615,4745/3842
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 3415/615,4745/3842, numerators are 3415,4745
Denominators are 615,3842
The GCF of 3415,4745 is 5 .
LCM of 615,3842 is 2362830.
The greatest common factor of 3415/615,4745/3842 = [GCF of 3415,4745]/[LCM of 615,3842]= 5/2362830
Therefore, the GCF of 3415/615,4745/3842 is 5/2362830.
To find the highest common factor of 3415,4745, we have to find the factors of both numbers and list the highest common factor.
The factors of 3415 are 1, 5, 683, 3415
The factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745
The HCF of 3415,4745 is 5.
Lets's calculate GCF of 3415,4745
| 5 | 3415, 4745 |
| 683, 949 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3415,4745 By Matching Biggest Common Factor Method
Now, list down the factors of 3415
:1,5,683,3415
Now, list down the factors of 4745
:1,5,13,65,73,365,949,4745
Greatest Common Factor
We found the factors 3415,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 3415,4745 is 5.
Lets's calculate LCM of 615,3842
Given numbers has no common factors except 1. So, there LCM is their product i.e 2362830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2362830
Therefore, the GCF of Fractions 3415/615,4745/3842 is 5/2362830
Least Common Multiple of 615,3842 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 615,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,3842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,3842) x common factors =1 x 1 = 1
LCM(615,3842) = ( 615 × 3842 ) / 1
LCM(615,3842) = 2362830 / 1
LCM(615,3842) = 2362830
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FAQs on GCF of Fractions of 3415/615, 4745/3842
1. What is the HCF of 3415,4745?
The HCF of 3415,4745 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 3415/615, 4745/3842?
Answer: GCF of Numerators as per given numbers 3415/615, 4745/3842 is
GCF of Numerators i.e. for 3415,4745 is 5
LCM of denominators i.e. for 615,3842 is 2362830.
Thus, GCF of Fractions is 5/2362830.Finally, GCF of Fractions for 3415/615, 4745/3842 is 5/2362830.