GCF of 6450/241, 9146/8051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6450/241, 9146/8051 i.e 2/1940291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6450/241, 9146/8051.
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 6450/241,9146/8051?
Given fractions are 6450/241,9146/8051
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 6450/241,9146/8051, numerators are 6450,9146
Denominators are 241,8051
The GCF of 6450,9146 is 2 .
LCM of 241,8051 is 1940291.
The greatest common factor of 6450/241,9146/8051 = [GCF of 6450,9146]/[LCM of 241,8051]= 2/1940291
Therefore, the GCF of 6450/241,9146/8051 is 2/1940291.
To find the highest common factor of 6450,9146, we have to find the factors of both numbers and list the highest common factor.
The factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The HCF of 6450,9146 is 2.
Lets's calculate GCF of 6450,9146
| 2 | 6450, 9146 |
| 3225, 4573 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6450,9146 By Matching Biggest Common Factor Method
Now, list down the factors of 6450
:1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors 6450,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,9146 is 2.
Lets's calculate LCM of 241,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 1940291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1940291
Therefore, the GCF of Fractions 6450/241,9146/8051 is 2/1940291
Least Common Multiple of 241,8051 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 241,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,8051) x common factors =1 x 1 = 1
LCM(241,8051) = ( 241 × 8051 ) / 1
LCM(241,8051) = 1940291 / 1
LCM(241,8051) = 1940291
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FAQs on GCF of Fractions of 6450/241, 9146/8051
1. What is the HCF of 6450,9146?
The HCF of 6450,9146 is 2
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 6450/241, 9146/8051?
Answer: GCF of Numerators as per given numbers 6450/241, 9146/8051 is
GCF of Numerators i.e. for 6450,9146 is 2
LCM of denominators i.e. for 241,8051 is 1940291.
Thus, GCF of Fractions is 2/1940291.Finally, GCF of Fractions for 6450/241, 9146/8051 is 2/1940291.