GCF of 2341/715, 1150/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2341/715, 1150/250 i.e 1/35750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2341/715, 1150/250.
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 2341/715,1150/250?
Given fractions are 2341/715,1150/250
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 2341/715,1150/250, numerators are 2341,1150
Denominators are 715,250
The GCF of 2341,1150 is 1 .
LCM of 715,250 is 35750.
The greatest common factor of 2341/715,1150/250 = [GCF of 2341,1150]/[LCM of 715,250]= 1/35750
Therefore, the GCF of 2341/715,1150/250 is 1/35750.
To find the highest common factor of 2341,1150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2341 are 1, 2341
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The HCF of 2341,1150 is 1.
Lets's calculate GCF of 2341,1150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2341,1150 By Matching Biggest Common Factor Method
Now, list down the factors of 2341
:1,2341
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 2341,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,1150 is 1.
Lets's calculate LCM of 715,250
| 5 | 715, 250 |
| 143, 50 |
∴ So the LCM of the given numbers is 5 x 143 x 50 = 35750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35750
Therefore, the GCF of Fractions 2341/715,1150/250 is 1/35750
Least Common Multiple of 715,250 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 715,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,250) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,250) x common factors =5 x 1 = 5
LCM(715,250) = ( 715 × 250 ) / 5
LCM(715,250) = 178750 / 5
LCM(715,250) = 35750
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FAQs on GCF of Fractions of 2341/715, 1150/250
1. What is the HCF of 2341,1150?
The HCF of 2341,1150 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 2341/715, 1150/250?
Answer: GCF of Numerators as per given numbers 2341/715, 1150/250 is
GCF of Numerators i.e. for 2341,1150 is 1
LCM of denominators i.e. for 715,250 is 35750.
Thus, GCF of Fractions is 1/35750.Finally, GCF of Fractions for 2341/715, 1150/250 is 1/35750.