GCF of 8586/371, 9977/9500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8586/371, 9977/9500 i.e 1/3524500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8586/371, 9977/9500.
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 8586/371,9977/9500?
Given fractions are 8586/371,9977/9500
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 8586/371,9977/9500, numerators are 8586,9977
Denominators are 371,9500
The GCF of 8586,9977 is 1 .
LCM of 371,9500 is 3524500.
The greatest common factor of 8586/371,9977/9500 = [GCF of 8586,9977]/[LCM of 371,9500]= 1/3524500
Therefore, the GCF of 8586/371,9977/9500 is 1/3524500.
To find the highest common factor of 8586,9977, we have to find the factors of both numbers and list the highest common factor.
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The factors of 9977 are 1, 11, 907, 9977
The HCF of 8586,9977 is 1.
Lets's calculate GCF of 8586,9977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8586,9977 By Matching Biggest Common Factor Method
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Now, list down the factors of 9977
:1,11,907,9977
Greatest Common Factor
We found the factors 8586,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 8586,9977 is 1.
Lets's calculate LCM of 371,9500
Given numbers has no common factors except 1. So, there LCM is their product i.e 3524500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3524500
Therefore, the GCF of Fractions 8586/371,9977/9500 is 1/3524500
Least Common Multiple of 371,9500 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 371,9500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,9500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,9500) x common factors =1 x 1 = 1
LCM(371,9500) = ( 371 × 9500 ) / 1
LCM(371,9500) = 3524500 / 1
LCM(371,9500) = 3524500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8586/371, 9977/9500
1. What is the HCF of 8586,9977?
The HCF of 8586,9977 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 8586/371, 9977/9500?
Answer: GCF of Numerators as per given numbers 8586/371, 9977/9500 is
GCF of Numerators i.e. for 8586,9977 is 1
LCM of denominators i.e. for 371,9500 is 3524500.
Thus, GCF of Fractions is 1/3524500.Finally, GCF of Fractions for 8586/371, 9977/9500 is 1/3524500.