GCF of 8150/213, 9975/4694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8150/213, 9975/4694 i.e 25/999822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8150/213, 9975/4694.
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 8150/213,9975/4694?
Given fractions are 8150/213,9975/4694
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 8150/213,9975/4694, numerators are 8150,9975
Denominators are 213,4694
The GCF of 8150,9975 is 25 .
LCM of 213,4694 is 999822.
The greatest common factor of 8150/213,9975/4694 = [GCF of 8150,9975]/[LCM of 213,4694]= 25/999822
Therefore, the GCF of 8150/213,9975/4694 is 25/999822.
To find the highest common factor of 8150,9975, we have to find the factors of both numbers and list the highest common factor.
The factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150
The factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975
The HCF of 8150,9975 is 25.
Lets's calculate GCF of 8150,9975
| 5 | 8150, 9975 |
| 5 | 1630, 1995 |
| 326, 399 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8150,9975 By Matching Biggest Common Factor Method
Now, list down the factors of 8150
:1,2,5,10,25,50,163,326,815,1630,4075,8150
Now, list down the factors of 9975
:1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975
Greatest Common Factor
We found the factors 8150,9975 . The biggest common factor number is the GCF number.
So the greatest common factor 8150,9975 is 25.
Lets's calculate LCM of 213,4694
Given numbers has no common factors except 1. So, there LCM is their product i.e 999822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/999822
Therefore, the GCF of Fractions 8150/213,9975/4694 is 25/999822
Least Common Multiple of 213,4694 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 213,4694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,4694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,4694) x common factors =1 x 1 = 1
LCM(213,4694) = ( 213 × 4694 ) / 1
LCM(213,4694) = 999822 / 1
LCM(213,4694) = 999822
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FAQs on GCF of Fractions of 8150/213, 9975/4694
1. What is the HCF of 8150,9975?
The HCF of 8150,9975 is 25
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 8150/213, 9975/4694?
Answer: GCF of Numerators as per given numbers 8150/213, 9975/4694 is
GCF of Numerators i.e. for 8150,9975 is 25
LCM of denominators i.e. for 213,4694 is 999822.
Thus, GCF of Fractions is 25/999822.Finally, GCF of Fractions for 8150/213, 9975/4694 is 25/999822.