GCF of 7162/750, 9341/8731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7162/750, 9341/8731 i.e 1/6548250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7162/750, 9341/8731.
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 7162/750,9341/8731?
Given fractions are 7162/750,9341/8731
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 7162/750,9341/8731, numerators are 7162,9341
Denominators are 750,8731
The GCF of 7162,9341 is 1 .
LCM of 750,8731 is 6548250.
The greatest common factor of 7162/750,9341/8731 = [GCF of 7162,9341]/[LCM of 750,8731]= 1/6548250
Therefore, the GCF of 7162/750,9341/8731 is 1/6548250.
To find the highest common factor of 7162,9341, we have to find the factors of both numbers and list the highest common factor.
The factors of 7162 are 1, 2, 3581, 7162
The factors of 9341 are 1, 9341
The HCF of 7162,9341 is 1.
Lets's calculate GCF of 7162,9341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7162,9341 By Matching Biggest Common Factor Method
Now, list down the factors of 7162
:1,2,3581,7162
Now, list down the factors of 9341
:1,9341
Greatest Common Factor
We found the factors 7162,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 7162,9341 is 1.
Lets's calculate LCM of 750,8731
Given numbers has no common factors except 1. So, there LCM is their product i.e 6548250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6548250
Therefore, the GCF of Fractions 7162/750,9341/8731 is 1/6548250
Least Common Multiple of 750,8731 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 750,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,8731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,8731) x common factors =1 x 1 = 1
LCM(750,8731) = ( 750 × 8731 ) / 1
LCM(750,8731) = 6548250 / 1
LCM(750,8731) = 6548250
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FAQs on GCF of Fractions of 7162/750, 9341/8731
1. What is the HCF of 7162,9341?
The HCF of 7162,9341 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 7162/750, 9341/8731?
Answer: GCF of Numerators as per given numbers 7162/750, 9341/8731 is
GCF of Numerators i.e. for 7162,9341 is 1
LCM of denominators i.e. for 750,8731 is 6548250.
Thus, GCF of Fractions is 1/6548250.Finally, GCF of Fractions for 7162/750, 9341/8731 is 1/6548250.