GCF of 9407/187, 1731/6885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9407/187, 1731/6885 i.e 1/75735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9407/187, 1731/6885.
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 9407/187,1731/6885?
Given fractions are 9407/187,1731/6885
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 9407/187,1731/6885, numerators are 9407,1731
Denominators are 187,6885
The GCF of 9407,1731 is 1 .
LCM of 187,6885 is 75735.
The greatest common factor of 9407/187,1731/6885 = [GCF of 9407,1731]/[LCM of 187,6885]= 1/75735
Therefore, the GCF of 9407/187,1731/6885 is 1/75735.
To find the highest common factor of 9407,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 9407 are 1, 23, 409, 9407
The factors of 1731 are 1, 3, 577, 1731
The HCF of 9407,1731 is 1.
Lets's calculate GCF of 9407,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9407,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 9407
:1,23,409,9407
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 9407,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 9407,1731 is 1.
Lets's calculate LCM of 187,6885
| 17 | 187, 6885 |
| 11, 405 |
∴ So the LCM of the given numbers is 17 x 11 x 405 = 75735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75735
Therefore, the GCF of Fractions 9407/187,1731/6885 is 1/75735
Least Common Multiple of 187,6885 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 187,6885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,6885) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(187,6885) x common factors =17 x 1 = 17
LCM(187,6885) = ( 187 × 6885 ) / 17
LCM(187,6885) = 1287495 / 17
LCM(187,6885) = 75735
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9407/187, 1731/6885
1. What is the HCF of 9407,1731?
The HCF of 9407,1731 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 9407/187, 1731/6885?
Answer: GCF of Numerators as per given numbers 9407/187, 1731/6885 is
GCF of Numerators i.e. for 9407,1731 is 1
LCM of denominators i.e. for 187,6885 is 75735.
Thus, GCF of Fractions is 1/75735.Finally, GCF of Fractions for 9407/187, 1731/6885 is 1/75735.