GCF of 9805/250, 8014/8323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9805/250, 8014/8323 i.e 1/2080750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9805/250, 8014/8323.
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 9805/250,8014/8323?
Given fractions are 9805/250,8014/8323
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 9805/250,8014/8323, numerators are 9805,8014
Denominators are 250,8323
The GCF of 9805,8014 is 1 .
LCM of 250,8323 is 2080750.
The greatest common factor of 9805/250,8014/8323 = [GCF of 9805,8014]/[LCM of 250,8323]= 1/2080750
Therefore, the GCF of 9805/250,8014/8323 is 1/2080750.
To find the highest common factor of 9805,8014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805
The factors of 8014 are 1, 2, 4007, 8014
The HCF of 9805,8014 is 1.
Lets's calculate GCF of 9805,8014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9805,8014 By Matching Biggest Common Factor Method
Now, list down the factors of 9805
:1,5,37,53,185,265,1961,9805
Now, list down the factors of 8014
:1,2,4007,8014
Greatest Common Factor
We found the factors 9805,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,8014 is 1.
Lets's calculate LCM of 250,8323
Given numbers has no common factors except 1. So, there LCM is their product i.e 2080750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080750
Therefore, the GCF of Fractions 9805/250,8014/8323 is 1/2080750
Least Common Multiple of 250,8323 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 250,8323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,8323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,8323) x common factors =1 x 1 = 1
LCM(250,8323) = ( 250 × 8323 ) / 1
LCM(250,8323) = 2080750 / 1
LCM(250,8323) = 2080750
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9805/250, 8014/8323
1. What is the HCF of 9805,8014?
The HCF of 9805,8014 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 9805/250, 8014/8323?
Answer: GCF of Numerators as per given numbers 9805/250, 8014/8323 is
GCF of Numerators i.e. for 9805,8014 is 1
LCM of denominators i.e. for 250,8323 is 2080750.
Thus, GCF of Fractions is 1/2080750.Finally, GCF of Fractions for 9805/250, 8014/8323 is 1/2080750.