GCF of 829/307, 9115/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 829/307, 9115/994 i.e 1/305158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/307, 9115/994.
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 829/307,9115/994?
Given fractions are 829/307,9115/994
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 829/307,9115/994, numerators are 829,9115
Denominators are 307,994
The GCF of 829,9115 is 1 .
LCM of 307,994 is 305158.
The greatest common factor of 829/307,9115/994 = [GCF of 829,9115]/[LCM of 307,994]= 1/305158
Therefore, the GCF of 829/307,9115/994 is 1/305158.
To find the highest common factor of 829,9115, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 9115 are 1, 5, 1823, 9115
The HCF of 829,9115 is 1.
Lets's calculate GCF of 829,9115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 829,9115 By Matching Biggest Common Factor Method
Now, list down the factors of 829
:1,829
Now, list down the factors of 9115
:1,5,1823,9115
Greatest Common Factor
We found the factors 829,9115 . The biggest common factor number is the GCF number.
So the greatest common factor 829,9115 is 1.
Lets's calculate LCM of 307,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 305158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305158
Therefore, the GCF of Fractions 829/307,9115/994 is 1/305158
Least Common Multiple of 307,994 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 307,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,994) x common factors =1 x 1 = 1
LCM(307,994) = ( 307 × 994 ) / 1
LCM(307,994) = 305158 / 1
LCM(307,994) = 305158
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FAQs on GCF of Fractions of 829/307, 9115/994
1. What is the HCF of 829,9115?
The HCF of 829,9115 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 829/307, 9115/994?
Answer: GCF of Numerators as per given numbers 829/307, 9115/994 is
GCF of Numerators i.e. for 829,9115 is 1
LCM of denominators i.e. for 307,994 is 305158.
Thus, GCF of Fractions is 1/305158.Finally, GCF of Fractions for 829/307, 9115/994 is 1/305158.