GCF of 7195/883, 3109/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7195/883, 3109/321 i.e 1/283443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7195/883, 3109/321.
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 7195/883,3109/321?
Given fractions are 7195/883,3109/321
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 7195/883,3109/321, numerators are 7195,3109
Denominators are 883,321
The GCF of 7195,3109 is 1 .
LCM of 883,321 is 283443.
The greatest common factor of 7195/883,3109/321 = [GCF of 7195,3109]/[LCM of 883,321]= 1/283443
Therefore, the GCF of 7195/883,3109/321 is 1/283443.
To find the highest common factor of 7195,3109, we have to find the factors of both numbers and list the highest common factor.
The factors of 7195 are 1, 5, 1439, 7195
The factors of 3109 are 1, 3109
The HCF of 7195,3109 is 1.
Lets's calculate GCF of 7195,3109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7195,3109 By Matching Biggest Common Factor Method
Now, list down the factors of 7195
:1,5,1439,7195
Now, list down the factors of 3109
:1,3109
Greatest Common Factor
We found the factors 7195,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,3109 is 1.
Lets's calculate LCM of 883,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 283443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283443
Therefore, the GCF of Fractions 7195/883,3109/321 is 1/283443
Least Common Multiple of 883,321 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 883,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,321) x common factors =1 x 1 = 1
LCM(883,321) = ( 883 × 321 ) / 1
LCM(883,321) = 283443 / 1
LCM(883,321) = 283443
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7195/883, 3109/321
1. What is the HCF of 7195,3109?
The HCF of 7195,3109 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 7195/883, 3109/321?
Answer: GCF of Numerators as per given numbers 7195/883, 3109/321 is
GCF of Numerators i.e. for 7195,3109 is 1
LCM of denominators i.e. for 883,321 is 283443.
Thus, GCF of Fractions is 1/283443.Finally, GCF of Fractions for 7195/883, 3109/321 is 1/283443.