GCF of 9575/489, 6436/6194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9575/489, 6436/6194 i.e 1/18582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9575/489, 6436/6194.
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 9575/489,6436/6194?
Given fractions are 9575/489,6436/6194
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 9575/489,6436/6194, numerators are 9575,6436
Denominators are 489,6194
The GCF of 9575,6436 is 1 .
LCM of 489,6194 is 18582.
The greatest common factor of 9575/489,6436/6194 = [GCF of 9575,6436]/[LCM of 489,6194]= 1/18582
Therefore, the GCF of 9575/489,6436/6194 is 1/18582.
To find the highest common factor of 9575,6436, we have to find the factors of both numbers and list the highest common factor.
The factors of 9575 are 1, 5, 25, 383, 1915, 9575
The factors of 6436 are 1, 2, 4, 1609, 3218, 6436
The HCF of 9575,6436 is 1.
Lets's calculate GCF of 9575,6436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9575,6436 By Matching Biggest Common Factor Method
Now, list down the factors of 9575
:1,5,25,383,1915,9575
Now, list down the factors of 6436
:1,2,4,1609,3218,6436
Greatest Common Factor
We found the factors 9575,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 9575,6436 is 1.
Lets's calculate LCM of 489,6194
| 163 | 489, 6194 |
| 3, 38 |
∴ So the LCM of the given numbers is 163 x 3 x 38 = 18582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18582
Therefore, the GCF of Fractions 9575/489,6436/6194 is 1/18582
Least Common Multiple of 489,6194 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 489,6194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,6194) = 163
common factors(in case of two or more numbers have common factors) = 1
GCF(489,6194) x common factors =163 x 1 = 163
LCM(489,6194) = ( 489 × 6194 ) / 163
LCM(489,6194) = 3028866 / 163
LCM(489,6194) = 18582
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FAQs on GCF of Fractions of 9575/489, 6436/6194
1. What is the HCF of 9575,6436?
The HCF of 9575,6436 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 9575/489, 6436/6194?
Answer: GCF of Numerators as per given numbers 9575/489, 6436/6194 is
GCF of Numerators i.e. for 9575,6436 is 1
LCM of denominators i.e. for 489,6194 is 18582.
Thus, GCF of Fractions is 1/18582.Finally, GCF of Fractions for 9575/489, 6436/6194 is 1/18582.