GCF of 8977/605, 7109/3317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8977/605, 7109/3317 i.e 1/2006785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8977/605, 7109/3317.
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 8977/605,7109/3317?
Given fractions are 8977/605,7109/3317
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 8977/605,7109/3317, numerators are 8977,7109
Denominators are 605,3317
The GCF of 8977,7109 is 1 .
LCM of 605,3317 is 2006785.
The greatest common factor of 8977/605,7109/3317 = [GCF of 8977,7109]/[LCM of 605,3317]= 1/2006785
Therefore, the GCF of 8977/605,7109/3317 is 1/2006785.
To find the highest common factor of 8977,7109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8977 are 1, 47, 191, 8977
The factors of 7109 are 1, 7109
The HCF of 8977,7109 is 1.
Lets's calculate GCF of 8977,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8977,7109 By Matching Biggest Common Factor Method
Now, list down the factors of 8977
:1,47,191,8977
Now, list down the factors of 7109
:1,7109
Greatest Common Factor
We found the factors 8977,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 8977,7109 is 1.
Lets's calculate LCM of 605,3317
Given numbers has no common factors except 1. So, there LCM is their product i.e 2006785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006785
Therefore, the GCF of Fractions 8977/605,7109/3317 is 1/2006785
Least Common Multiple of 605,3317 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 605,3317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,3317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,3317) x common factors =1 x 1 = 1
LCM(605,3317) = ( 605 × 3317 ) / 1
LCM(605,3317) = 2006785 / 1
LCM(605,3317) = 2006785
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FAQs on GCF of Fractions of 8977/605, 7109/3317
1. What is the HCF of 8977,7109?
The HCF of 8977,7109 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 8977/605, 7109/3317?
Answer: GCF of Numerators as per given numbers 8977/605, 7109/3317 is
GCF of Numerators i.e. for 8977,7109 is 1
LCM of denominators i.e. for 605,3317 is 2006785.
Thus, GCF of Fractions is 1/2006785.Finally, GCF of Fractions for 8977/605, 7109/3317 is 1/2006785.