GCF of 8150/383, 7665/9634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8150/383, 7665/9634 i.e 5/3689822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8150/383, 7665/9634.
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 8150/383,7665/9634?
Given fractions are 8150/383,7665/9634
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 8150/383,7665/9634, numerators are 8150,7665
Denominators are 383,9634
The GCF of 8150,7665 is 5 .
LCM of 383,9634 is 3689822.
The greatest common factor of 8150/383,7665/9634 = [GCF of 8150,7665]/[LCM of 383,9634]= 5/3689822
Therefore, the GCF of 8150/383,7665/9634 is 5/3689822.
To find the highest common factor of 8150,7665, 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 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The HCF of 8150,7665 is 5.
Lets's calculate GCF of 8150,7665
| 5 | 8150, 7665 |
| 1630, 1533 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8150,7665 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 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Greatest Common Factor
We found the factors 8150,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 8150,7665 is 5.
Lets's calculate LCM of 383,9634
Given numbers has no common factors except 1. So, there LCM is their product i.e 3689822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3689822
Therefore, the GCF of Fractions 8150/383,7665/9634 is 5/3689822
Least Common Multiple of 383,9634 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 383,9634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,9634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,9634) x common factors =1 x 1 = 1
LCM(383,9634) = ( 383 × 9634 ) / 1
LCM(383,9634) = 3689822 / 1
LCM(383,9634) = 3689822
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FAQs on GCF of Fractions of 8150/383, 7665/9634
1. What is the HCF of 8150,7665?
The HCF of 8150,7665 is 5
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 8150/383, 7665/9634?
Answer: GCF of Numerators as per given numbers 8150/383, 7665/9634 is
GCF of Numerators i.e. for 8150,7665 is 5
LCM of denominators i.e. for 383,9634 is 3689822.
Thus, GCF of Fractions is 5/3689822.Finally, GCF of Fractions for 8150/383, 7665/9634 is 5/3689822.