GCF of 310/424, 1466/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 310/424, 1466/415 i.e 2/175960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/424, 1466/415.
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 310/424,1466/415?
Given fractions are 310/424,1466/415
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 310/424,1466/415, numerators are 310,1466
Denominators are 424,415
The GCF of 310,1466 is 2 .
LCM of 424,415 is 175960.
The greatest common factor of 310/424,1466/415 = [GCF of 310,1466]/[LCM of 424,415]= 2/175960
Therefore, the GCF of 310/424,1466/415 is 2/175960.
To find the highest common factor of 310,1466, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 1466 are 1, 2, 733, 1466
The HCF of 310,1466 is 2.
Lets's calculate GCF of 310,1466
| 2 | 310, 1466 |
| 155, 733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 310,1466 By Matching Biggest Common Factor Method
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 1466
:1,2,733,1466
Greatest Common Factor
We found the factors 310,1466 . The biggest common factor number is the GCF number.
So the greatest common factor 310,1466 is 2.
Lets's calculate LCM of 424,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 175960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175960
Therefore, the GCF of Fractions 310/424,1466/415 is 2/175960
Least Common Multiple of 424,415 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 424,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,415) x common factors =1 x 1 = 1
LCM(424,415) = ( 424 × 415 ) / 1
LCM(424,415) = 175960 / 1
LCM(424,415) = 175960
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FAQs on GCF of Fractions of 310/424, 1466/415
1. What is the HCF of 310,1466?
The HCF of 310,1466 is 2
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 310/424, 1466/415?
Answer: GCF of Numerators as per given numbers 310/424, 1466/415 is
GCF of Numerators i.e. for 310,1466 is 2
LCM of denominators i.e. for 424,415 is 175960.
Thus, GCF of Fractions is 2/175960.Finally, GCF of Fractions for 310/424, 1466/415 is 2/175960.