GCF of 65/34, 428/39, 468/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/34, 428/39, 468/845 i.e 1/86190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/34, 428/39, 468/845.
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 65/34,428/39,468/845?
Given fractions are 65/34,428/39,468/845
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 65/34,428/39,468/845, numerators are 65,428,468
Denominators are 34,39,845
The GCF of 65,428,468 is 1 .
LCM of 34,39,845 is 86190.
The greatest common factor of 65/34,428/39,468/845 = [GCF of 65,428,468]/[LCM of 34,39,845]= 1/86190
Therefore, the GCF of 65/34,428/39,468/845 is 1/86190.
To find the highest common factor of 65,428,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 428 are 1, 2, 4, 107, 214, 428
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 65,428,468 is 1.
Lets's calculate GCF of 65,428,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 65,428,468 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 428
:1,2,4,107,214,428
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 65,428,468 . The biggest common factor number is the GCF number.
So the greatest common factor 65,428,468 is 1.
Lets's calculate LCM of 34,39,845
| 13 | 34, 39, 845 |
| 34, 3, 65 |
∴ So the LCM of the given numbers is 13 x 34 x 3 x 65 = 86190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86190
Therefore, the GCF of Fractions 65/34,428/39,468/845 is 1/86190
Least Common Multiple of 34,39,845 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 34,39,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,39,845) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(34,39,845) x common factors =1 x 13 = 13
LCM(34,39,845) = ( 34 × 39 × 845 ) / 13
LCM(34,39,845) = 1120470 / 13
LCM(34,39,845) = 86190
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FAQs on GCF of Fractions of 65/34, 428/39, 468/845
1. What is the HCF of 65,428,468?
The HCF of 65,428,468 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 65/34, 428/39, 468/845?
Answer: GCF of Numerators as per given numbers 65/34, 428/39, 468/845 is
GCF of Numerators i.e. for 65,428,468 is 1
LCM of denominators i.e. for 34,39,845 is 86190.
Thus, GCF of Fractions is 1/86190.Finally, GCF of Fractions for 65/34, 428/39, 468/845 is 1/86190.