GCF of 9497/948, 9837/2983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9497/948, 9837/2983 i.e 1/2827884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9497/948, 9837/2983.
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 9497/948,9837/2983?
Given fractions are 9497/948,9837/2983
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 9497/948,9837/2983, numerators are 9497,9837
Denominators are 948,2983
The GCF of 9497,9837 is 1 .
LCM of 948,2983 is 2827884.
The greatest common factor of 9497/948,9837/2983 = [GCF of 9497,9837]/[LCM of 948,2983]= 1/2827884
Therefore, the GCF of 9497/948,9837/2983 is 1/2827884.
To find the highest common factor of 9497,9837, we have to find the factors of both numbers and list the highest common factor.
The factors of 9497 are 1, 9497
The factors of 9837 are 1, 3, 9, 1093, 3279, 9837
The HCF of 9497,9837 is 1.
Lets's calculate GCF of 9497,9837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9497,9837 By Matching Biggest Common Factor Method
Now, list down the factors of 9497
:1,9497
Now, list down the factors of 9837
:1,3,9,1093,3279,9837
Greatest Common Factor
We found the factors 9497,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,9837 is 1.
Lets's calculate LCM of 948,2983
Given numbers has no common factors except 1. So, there LCM is their product i.e 2827884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2827884
Therefore, the GCF of Fractions 9497/948,9837/2983 is 1/2827884
Least Common Multiple of 948,2983 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 948,2983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,2983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,2983) x common factors =1 x 1 = 1
LCM(948,2983) = ( 948 × 2983 ) / 1
LCM(948,2983) = 2827884 / 1
LCM(948,2983) = 2827884
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FAQs on GCF of Fractions of 9497/948, 9837/2983
1. What is the HCF of 9497,9837?
The HCF of 9497,9837 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 9497/948, 9837/2983?
Answer: GCF of Numerators as per given numbers 9497/948, 9837/2983 is
GCF of Numerators i.e. for 9497,9837 is 1
LCM of denominators i.e. for 948,2983 is 2827884.
Thus, GCF of Fractions is 1/2827884.Finally, GCF of Fractions for 9497/948, 9837/2983 is 1/2827884.