GCF of 2415/314, 8443/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2415/314, 8443/4090 i.e 1/642130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2415/314, 8443/4090.
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 2415/314,8443/4090?
Given fractions are 2415/314,8443/4090
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 2415/314,8443/4090, numerators are 2415,8443
Denominators are 314,4090
The GCF of 2415,8443 is 1 .
LCM of 314,4090 is 642130.
The greatest common factor of 2415/314,8443/4090 = [GCF of 2415,8443]/[LCM of 314,4090]= 1/642130
Therefore, the GCF of 2415/314,8443/4090 is 1/642130.
To find the highest common factor of 2415,8443, we have to find the factors of both numbers and list the highest common factor.
The factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415
The factors of 8443 are 1, 8443
The HCF of 2415,8443 is 1.
Lets's calculate GCF of 2415,8443
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2415,8443 By Matching Biggest Common Factor Method
Now, list down the factors of 2415
:1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415
Now, list down the factors of 8443
:1,8443
Greatest Common Factor
We found the factors 2415,8443 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,8443 is 1.
Lets's calculate LCM of 314,4090
| 2 | 314, 4090 |
| 157, 2045 |
∴ So the LCM of the given numbers is 2 x 157 x 2045 = 642130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642130
Therefore, the GCF of Fractions 2415/314,8443/4090 is 1/642130
Least Common Multiple of 314,4090 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 314,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4090) x common factors =2 x 1 = 2
LCM(314,4090) = ( 314 × 4090 ) / 2
LCM(314,4090) = 1284260 / 2
LCM(314,4090) = 642130
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FAQs on GCF of Fractions of 2415/314, 8443/4090
1. What is the HCF of 2415,8443?
The HCF of 2415,8443 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 2415/314, 8443/4090?
Answer: GCF of Numerators as per given numbers 2415/314, 8443/4090 is
GCF of Numerators i.e. for 2415,8443 is 1
LCM of denominators i.e. for 314,4090 is 642130.
Thus, GCF of Fractions is 1/642130.Finally, GCF of Fractions for 2415/314, 8443/4090 is 1/642130.