GCF of 9537/325, 6454/1798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9537/325, 6454/1798 i.e 1/584350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9537/325, 6454/1798.
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 9537/325,6454/1798?
Given fractions are 9537/325,6454/1798
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 9537/325,6454/1798, numerators are 9537,6454
Denominators are 325,1798
The GCF of 9537,6454 is 1 .
LCM of 325,1798 is 584350.
The greatest common factor of 9537/325,6454/1798 = [GCF of 9537,6454]/[LCM of 325,1798]= 1/584350
Therefore, the GCF of 9537/325,6454/1798 is 1/584350.
To find the highest common factor of 9537,6454, we have to find the factors of both numbers and list the highest common factor.
The factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454
The HCF of 9537,6454 is 1.
Lets's calculate GCF of 9537,6454
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9537,6454 By Matching Biggest Common Factor Method
Now, list down the factors of 9537
:1,3,11,17,33,51,187,289,561,867,3179,9537
Now, list down the factors of 6454
:1,2,7,14,461,922,3227,6454
Greatest Common Factor
We found the factors 9537,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 9537,6454 is 1.
Lets's calculate LCM of 325,1798
Given numbers has no common factors except 1. So, there LCM is their product i.e 584350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584350
Therefore, the GCF of Fractions 9537/325,6454/1798 is 1/584350
Least Common Multiple of 325,1798 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 325,1798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,1798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,1798) x common factors =1 x 1 = 1
LCM(325,1798) = ( 325 × 1798 ) / 1
LCM(325,1798) = 584350 / 1
LCM(325,1798) = 584350
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FAQs on GCF of Fractions of 9537/325, 6454/1798
1. What is the HCF of 9537,6454?
The HCF of 9537,6454 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 9537/325, 6454/1798?
Answer: GCF of Numerators as per given numbers 9537/325, 6454/1798 is
GCF of Numerators i.e. for 9537,6454 is 1
LCM of denominators i.e. for 325,1798 is 584350.
Thus, GCF of Fractions is 1/584350.Finally, GCF of Fractions for 9537/325, 6454/1798 is 1/584350.