GCF of 9950/313, 8341/6787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9950/313, 8341/6787 i.e 1/2124331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9950/313, 8341/6787.
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 9950/313,8341/6787?
Given fractions are 9950/313,8341/6787
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 9950/313,8341/6787, numerators are 9950,8341
Denominators are 313,6787
The GCF of 9950,8341 is 1 .
LCM of 313,6787 is 2124331.
The greatest common factor of 9950/313,8341/6787 = [GCF of 9950,8341]/[LCM of 313,6787]= 1/2124331
Therefore, the GCF of 9950/313,8341/6787 is 1/2124331.
To find the highest common factor of 9950,8341, we have to find the factors of both numbers and list the highest common factor.
The factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950
The factors of 8341 are 1, 19, 439, 8341
The HCF of 9950,8341 is 1.
Lets's calculate GCF of 9950,8341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9950,8341 By Matching Biggest Common Factor Method
Now, list down the factors of 9950
:1,2,5,10,25,50,199,398,995,1990,4975,9950
Now, list down the factors of 8341
:1,19,439,8341
Greatest Common Factor
We found the factors 9950,8341 . The biggest common factor number is the GCF number.
So the greatest common factor 9950,8341 is 1.
Lets's calculate LCM of 313,6787
Given numbers has no common factors except 1. So, there LCM is their product i.e 2124331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2124331
Therefore, the GCF of Fractions 9950/313,8341/6787 is 1/2124331
Least Common Multiple of 313,6787 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 313,6787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,6787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,6787) x common factors =1 x 1 = 1
LCM(313,6787) = ( 313 × 6787 ) / 1
LCM(313,6787) = 2124331 / 1
LCM(313,6787) = 2124331
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FAQs on GCF of Fractions of 9950/313, 8341/6787
1. What is the HCF of 9950,8341?
The HCF of 9950,8341 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 9950/313, 8341/6787?
Answer: GCF of Numerators as per given numbers 9950/313, 8341/6787 is
GCF of Numerators i.e. for 9950,8341 is 1
LCM of denominators i.e. for 313,6787 is 2124331.
Thus, GCF of Fractions is 1/2124331.Finally, GCF of Fractions for 9950/313, 8341/6787 is 1/2124331.