GCF of 2487/187, 9886/2173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2487/187, 9886/2173 i.e 1/406351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2487/187, 9886/2173.
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 2487/187,9886/2173?
Given fractions are 2487/187,9886/2173
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 2487/187,9886/2173, numerators are 2487,9886
Denominators are 187,2173
The GCF of 2487,9886 is 1 .
LCM of 187,2173 is 406351.
The greatest common factor of 2487/187,9886/2173 = [GCF of 2487,9886]/[LCM of 187,2173]= 1/406351
Therefore, the GCF of 2487/187,9886/2173 is 1/406351.
To find the highest common factor of 2487,9886, we have to find the factors of both numbers and list the highest common factor.
The factors of 2487 are 1, 3, 829, 2487
The factors of 9886 are 1, 2, 4943, 9886
The HCF of 2487,9886 is 1.
Lets's calculate GCF of 2487,9886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2487,9886 By Matching Biggest Common Factor Method
Now, list down the factors of 2487
:1,3,829,2487
Now, list down the factors of 9886
:1,2,4943,9886
Greatest Common Factor
We found the factors 2487,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 2487,9886 is 1.
Lets's calculate LCM of 187,2173
Given numbers has no common factors except 1. So, there LCM is their product i.e 406351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406351
Therefore, the GCF of Fractions 2487/187,9886/2173 is 1/406351
Least Common Multiple of 187,2173 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 187,2173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,2173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,2173) x common factors =1 x 1 = 1
LCM(187,2173) = ( 187 × 2173 ) / 1
LCM(187,2173) = 406351 / 1
LCM(187,2173) = 406351
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FAQs on GCF of Fractions of 2487/187, 9886/2173
1. What is the HCF of 2487,9886?
The HCF of 2487,9886 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 2487/187, 9886/2173?
Answer: GCF of Numerators as per given numbers 2487/187, 9886/2173 is
GCF of Numerators i.e. for 2487,9886 is 1
LCM of denominators i.e. for 187,2173 is 406351.
Thus, GCF of Fractions is 1/406351.Finally, GCF of Fractions for 2487/187, 9886/2173 is 1/406351.