GCF of 7591/370, 7519/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7591/370, 7519/365 i.e 1/27010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7591/370, 7519/365.
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 7591/370,7519/365?
Given fractions are 7591/370,7519/365
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 7591/370,7519/365, numerators are 7591,7519
Denominators are 370,365
The GCF of 7591,7519 is 1 .
LCM of 370,365 is 27010.
The greatest common factor of 7591/370,7519/365 = [GCF of 7591,7519]/[LCM of 370,365]= 1/27010
Therefore, the GCF of 7591/370,7519/365 is 1/27010.
To find the highest common factor of 7591,7519, we have to find the factors of both numbers and list the highest common factor.
The factors of 7591 are 1, 7591
The factors of 7519 are 1, 73, 103, 7519
The HCF of 7591,7519 is 1.
Lets's calculate GCF of 7591,7519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7591,7519 By Matching Biggest Common Factor Method
Now, list down the factors of 7591
:1,7591
Now, list down the factors of 7519
:1,73,103,7519
Greatest Common Factor
We found the factors 7591,7519 . The biggest common factor number is the GCF number.
So the greatest common factor 7591,7519 is 1.
Lets's calculate LCM of 370,365
| 5 | 370, 365 |
| 74, 73 |
∴ So the LCM of the given numbers is 5 x 74 x 73 = 27010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27010
Therefore, the GCF of Fractions 7591/370,7519/365 is 1/27010
Least Common Multiple of 370,365 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 370,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,365) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(370,365) x common factors =5 x 1 = 5
LCM(370,365) = ( 370 × 365 ) / 5
LCM(370,365) = 135050 / 5
LCM(370,365) = 27010
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FAQs on GCF of Fractions of 7591/370, 7519/365
1. What is the HCF of 7591,7519?
The HCF of 7591,7519 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 7591/370, 7519/365?
Answer: GCF of Numerators as per given numbers 7591/370, 7519/365 is
GCF of Numerators i.e. for 7591,7519 is 1
LCM of denominators i.e. for 370,365 is 27010.
Thus, GCF of Fractions is 1/27010.Finally, GCF of Fractions for 7591/370, 7519/365 is 1/27010.