GCF of 6438/390, 1463/5834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6438/390, 1463/5834 i.e 1/1137630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6438/390, 1463/5834.
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 6438/390,1463/5834?
Given fractions are 6438/390,1463/5834
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 6438/390,1463/5834, numerators are 6438,1463
Denominators are 390,5834
The GCF of 6438,1463 is 1 .
LCM of 390,5834 is 1137630.
The greatest common factor of 6438/390,1463/5834 = [GCF of 6438,1463]/[LCM of 390,5834]= 1/1137630
Therefore, the GCF of 6438/390,1463/5834 is 1/1137630.
To find the highest common factor of 6438,1463, we have to find the factors of both numbers and list the highest common factor.
The factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The HCF of 6438,1463 is 1.
Lets's calculate GCF of 6438,1463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6438,1463 By Matching Biggest Common Factor Method
Now, list down the factors of 6438
:1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Greatest Common Factor
We found the factors 6438,1463 . The biggest common factor number is the GCF number.
So the greatest common factor 6438,1463 is 1.
Lets's calculate LCM of 390,5834
| 2 | 390, 5834 |
| 195, 2917 |
∴ So the LCM of the given numbers is 2 x 195 x 2917 = 1137630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1137630
Therefore, the GCF of Fractions 6438/390,1463/5834 is 1/1137630
Least Common Multiple of 390,5834 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 390,5834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,5834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,5834) x common factors =2 x 1 = 2
LCM(390,5834) = ( 390 × 5834 ) / 2
LCM(390,5834) = 2275260 / 2
LCM(390,5834) = 1137630
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FAQs on GCF of Fractions of 6438/390, 1463/5834
1. What is the HCF of 6438,1463?
The HCF of 6438,1463 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 6438/390, 1463/5834?
Answer: GCF of Numerators as per given numbers 6438/390, 1463/5834 is
GCF of Numerators i.e. for 6438,1463 is 1
LCM of denominators i.e. for 390,5834 is 1137630.
Thus, GCF of Fractions is 1/1137630.Finally, GCF of Fractions for 6438/390, 1463/5834 is 1/1137630.