GCF of 7916/254, 9583/9845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7916/254, 9583/9845 i.e 1/2500630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7916/254, 9583/9845.
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 7916/254,9583/9845?
Given fractions are 7916/254,9583/9845
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 7916/254,9583/9845, numerators are 7916,9583
Denominators are 254,9845
The GCF of 7916,9583 is 1 .
LCM of 254,9845 is 2500630.
The greatest common factor of 7916/254,9583/9845 = [GCF of 7916,9583]/[LCM of 254,9845]= 1/2500630
Therefore, the GCF of 7916/254,9583/9845 is 1/2500630.
To find the highest common factor of 7916,9583, we have to find the factors of both numbers and list the highest common factor.
The factors of 7916 are 1, 2, 4, 1979, 3958, 7916
The factors of 9583 are 1, 7, 37, 259, 1369, 9583
The HCF of 7916,9583 is 1.
Lets's calculate GCF of 7916,9583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7916,9583 By Matching Biggest Common Factor Method
Now, list down the factors of 7916
:1,2,4,1979,3958,7916
Now, list down the factors of 9583
:1,7,37,259,1369,9583
Greatest Common Factor
We found the factors 7916,9583 . The biggest common factor number is the GCF number.
So the greatest common factor 7916,9583 is 1.
Lets's calculate LCM of 254,9845
Given numbers has no common factors except 1. So, there LCM is their product i.e 2500630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2500630
Therefore, the GCF of Fractions 7916/254,9583/9845 is 1/2500630
Least Common Multiple of 254,9845 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 254,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,9845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,9845) x common factors =1 x 1 = 1
LCM(254,9845) = ( 254 × 9845 ) / 1
LCM(254,9845) = 2500630 / 1
LCM(254,9845) = 2500630
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FAQs on GCF of Fractions of 7916/254, 9583/9845
1. What is the HCF of 7916,9583?
The HCF of 7916,9583 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 7916/254, 9583/9845?
Answer: GCF of Numerators as per given numbers 7916/254, 9583/9845 is
GCF of Numerators i.e. for 7916,9583 is 1
LCM of denominators i.e. for 254,9845 is 2500630.
Thus, GCF of Fractions is 1/2500630.Finally, GCF of Fractions for 7916/254, 9583/9845 is 1/2500630.