GCF of 1458/315, 1305/9811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1458/315, 1305/9811 i.e 9/3090465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1458/315, 1305/9811.
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 1458/315,1305/9811?
Given fractions are 1458/315,1305/9811
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 1458/315,1305/9811, numerators are 1458,1305
Denominators are 315,9811
The GCF of 1458,1305 is 9 .
LCM of 315,9811 is 3090465.
The greatest common factor of 1458/315,1305/9811 = [GCF of 1458,1305]/[LCM of 315,9811]= 9/3090465
Therefore, the GCF of 1458/315,1305/9811 is 9/3090465.
To find the highest common factor of 1458,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 1458,1305 is 9.
Lets's calculate GCF of 1458,1305
| 3 | 1458, 1305 |
| 3 | 486, 435 |
| 162, 145 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1458,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 1458,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 1458,1305 is 9.
Lets's calculate LCM of 315,9811
Given numbers has no common factors except 1. So, there LCM is their product i.e 3090465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3090465
Therefore, the GCF of Fractions 1458/315,1305/9811 is 9/3090465
Least Common Multiple of 315,9811 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 315,9811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,9811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,9811) x common factors =1 x 1 = 1
LCM(315,9811) = ( 315 × 9811 ) / 1
LCM(315,9811) = 3090465 / 1
LCM(315,9811) = 3090465
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FAQs on GCF of Fractions of 1458/315, 1305/9811
1. What is the HCF of 1458,1305?
The HCF of 1458,1305 is 9
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 1458/315, 1305/9811?
Answer: GCF of Numerators as per given numbers 1458/315, 1305/9811 is
GCF of Numerators i.e. for 1458,1305 is 9
LCM of denominators i.e. for 315,9811 is 3090465.
Thus, GCF of Fractions is 9/3090465.Finally, GCF of Fractions for 1458/315, 1305/9811 is 9/3090465.