GCF of 9187/992, 1875/5065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9187/992, 1875/5065 i.e 1/5024480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9187/992, 1875/5065.
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 9187/992,1875/5065?
Given fractions are 9187/992,1875/5065
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 9187/992,1875/5065, numerators are 9187,1875
Denominators are 992,5065
The GCF of 9187,1875 is 1 .
LCM of 992,5065 is 5024480.
The greatest common factor of 9187/992,1875/5065 = [GCF of 9187,1875]/[LCM of 992,5065]= 1/5024480
Therefore, the GCF of 9187/992,1875/5065 is 1/5024480.
To find the highest common factor of 9187,1875, we have to find the factors of both numbers and list the highest common factor.
The factors of 9187 are 1, 9187
The factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875
The HCF of 9187,1875 is 1.
Lets's calculate GCF of 9187,1875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9187,1875 By Matching Biggest Common Factor Method
Now, list down the factors of 9187
:1,9187
Now, list down the factors of 1875
:1,3,5,15,25,75,125,375,625,1875
Greatest Common Factor
We found the factors 9187,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 9187,1875 is 1.
Lets's calculate LCM of 992,5065
Given numbers has no common factors except 1. So, there LCM is their product i.e 5024480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5024480
Therefore, the GCF of Fractions 9187/992,1875/5065 is 1/5024480
Least Common Multiple of 992,5065 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 992,5065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,5065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,5065) x common factors =1 x 1 = 1
LCM(992,5065) = ( 992 × 5065 ) / 1
LCM(992,5065) = 5024480 / 1
LCM(992,5065) = 5024480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9187/992, 1875/5065
1. What is the HCF of 9187,1875?
The HCF of 9187,1875 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 9187/992, 1875/5065?
Answer: GCF of Numerators as per given numbers 9187/992, 1875/5065 is
GCF of Numerators i.e. for 9187,1875 is 1
LCM of denominators i.e. for 992,5065 is 5024480.
Thus, GCF of Fractions is 1/5024480.Finally, GCF of Fractions for 9187/992, 1875/5065 is 1/5024480.