GCF of 60/14, 811/12, 963/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/14, 811/12, 963/309 i.e 1/8652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/14, 811/12, 963/309.
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 60/14,811/12,963/309?
Given fractions are 60/14,811/12,963/309
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 60/14,811/12,963/309, numerators are 60,811,963
Denominators are 14,12,309
The GCF of 60,811,963 is 1 .
LCM of 14,12,309 is 8652.
The greatest common factor of 60/14,811/12,963/309 = [GCF of 60,811,963]/[LCM of 14,12,309]= 1/8652
Therefore, the GCF of 60/14,811/12,963/309 is 1/8652.
To find the highest common factor of 60,811,963, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 811 are 1, 811
The factors of 963 are 1, 3, 9, 107, 321, 963
The HCF of 60,811,963 is 1.
Lets's calculate GCF of 60,811,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 60,811,963 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 811
:1,811
Now, list down the factors of 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 60,811,963 . The biggest common factor number is the GCF number.
So the greatest common factor 60,811,963 is 1.
Lets's calculate LCM of 14,12,309
| 2 | 14, 12, 309 |
| 3 | 7, 6, 309 |
| 7, 2, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 103 = 8652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8652
Therefore, the GCF of Fractions 60/14,811/12,963/309 is 1/8652
Least Common Multiple of 14,12,309 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 14,12,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,12,309) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(14,12,309) x common factors =1 x 6 = 6
LCM(14,12,309) = ( 14 × 12 × 309 ) / 6
LCM(14,12,309) = 51912 / 6
LCM(14,12,309) = 8652
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FAQs on GCF of Fractions of 60/14, 811/12, 963/309
1. What is the HCF of 60,811,963?
The HCF of 60,811,963 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 60/14, 811/12, 963/309?
Answer: GCF of Numerators as per given numbers 60/14, 811/12, 963/309 is
GCF of Numerators i.e. for 60,811,963 is 1
LCM of denominators i.e. for 14,12,309 is 8652.
Thus, GCF of Fractions is 1/8652.Finally, GCF of Fractions for 60/14, 811/12, 963/309 is 1/8652.