GCF of 8809/986, 1828/8655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8809/986, 1828/8655 i.e 1/8533830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8809/986, 1828/8655.
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 8809/986,1828/8655?
Given fractions are 8809/986,1828/8655
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 8809/986,1828/8655, numerators are 8809,1828
Denominators are 986,8655
The GCF of 8809,1828 is 1 .
LCM of 986,8655 is 8533830.
The greatest common factor of 8809/986,1828/8655 = [GCF of 8809,1828]/[LCM of 986,8655]= 1/8533830
Therefore, the GCF of 8809/986,1828/8655 is 1/8533830.
To find the highest common factor of 8809,1828, we have to find the factors of both numbers and list the highest common factor.
The factors of 8809 are 1, 23, 383, 8809
The factors of 1828 are 1, 2, 4, 457, 914, 1828
The HCF of 8809,1828 is 1.
Lets's calculate GCF of 8809,1828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8809,1828 By Matching Biggest Common Factor Method
Now, list down the factors of 8809
:1,23,383,8809
Now, list down the factors of 1828
:1,2,4,457,914,1828
Greatest Common Factor
We found the factors 8809,1828 . The biggest common factor number is the GCF number.
So the greatest common factor 8809,1828 is 1.
Lets's calculate LCM of 986,8655
Given numbers has no common factors except 1. So, there LCM is their product i.e 8533830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8533830
Therefore, the GCF of Fractions 8809/986,1828/8655 is 1/8533830
Least Common Multiple of 986,8655 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 986,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8655) x common factors =1 x 1 = 1
LCM(986,8655) = ( 986 × 8655 ) / 1
LCM(986,8655) = 8533830 / 1
LCM(986,8655) = 8533830
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FAQs on GCF of Fractions of 8809/986, 1828/8655
1. What is the HCF of 8809,1828?
The HCF of 8809,1828 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 8809/986, 1828/8655?
Answer: GCF of Numerators as per given numbers 8809/986, 1828/8655 is
GCF of Numerators i.e. for 8809,1828 is 1
LCM of denominators i.e. for 986,8655 is 8533830.
Thus, GCF of Fractions is 1/8533830.Finally, GCF of Fractions for 8809/986, 1828/8655 is 1/8533830.