GCF of 7817/733, 9428/2509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7817/733, 9428/2509 i.e 1/1839097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7817/733, 9428/2509.
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 7817/733,9428/2509?
Given fractions are 7817/733,9428/2509
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 7817/733,9428/2509, numerators are 7817,9428
Denominators are 733,2509
The GCF of 7817,9428 is 1 .
LCM of 733,2509 is 1839097.
The greatest common factor of 7817/733,9428/2509 = [GCF of 7817,9428]/[LCM of 733,2509]= 1/1839097
Therefore, the GCF of 7817/733,9428/2509 is 1/1839097.
To find the highest common factor of 7817,9428, we have to find the factors of both numbers and list the highest common factor.
The factors of 7817 are 1, 7817
The factors of 9428 are 1, 2, 4, 2357, 4714, 9428
The HCF of 7817,9428 is 1.
Lets's calculate GCF of 7817,9428
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7817,9428 By Matching Biggest Common Factor Method
Now, list down the factors of 7817
:1,7817
Now, list down the factors of 9428
:1,2,4,2357,4714,9428
Greatest Common Factor
We found the factors 7817,9428 . The biggest common factor number is the GCF number.
So the greatest common factor 7817,9428 is 1.
Lets's calculate LCM of 733,2509
Given numbers has no common factors except 1. So, there LCM is their product i.e 1839097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1839097
Therefore, the GCF of Fractions 7817/733,9428/2509 is 1/1839097
Least Common Multiple of 733,2509 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 733,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,2509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,2509) x common factors =1 x 1 = 1
LCM(733,2509) = ( 733 × 2509 ) / 1
LCM(733,2509) = 1839097 / 1
LCM(733,2509) = 1839097
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FAQs on GCF of Fractions of 7817/733, 9428/2509
1. What is the HCF of 7817,9428?
The HCF of 7817,9428 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 7817/733, 9428/2509?
Answer: GCF of Numerators as per given numbers 7817/733, 9428/2509 is
GCF of Numerators i.e. for 7817,9428 is 1
LCM of denominators i.e. for 733,2509 is 1839097.
Thus, GCF of Fractions is 1/1839097.Finally, GCF of Fractions for 7817/733, 9428/2509 is 1/1839097.