GCF of 145/199, 7109/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 145/199, 7109/418 i.e 1/83182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/199, 7109/418.
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 145/199,7109/418?
Given fractions are 145/199,7109/418
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 145/199,7109/418, numerators are 145,7109
Denominators are 199,418
The GCF of 145,7109 is 1 .
LCM of 199,418 is 83182.
The greatest common factor of 145/199,7109/418 = [GCF of 145,7109]/[LCM of 199,418]= 1/83182
Therefore, the GCF of 145/199,7109/418 is 1/83182.
To find the highest common factor of 145,7109, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 7109 are 1, 7109
The HCF of 145,7109 is 1.
Lets's calculate GCF of 145,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 145,7109 By Matching Biggest Common Factor Method
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 7109
:1,7109
Greatest Common Factor
We found the factors 145,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 145,7109 is 1.
Lets's calculate LCM of 199,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 83182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83182
Therefore, the GCF of Fractions 145/199,7109/418 is 1/83182
Least Common Multiple of 199,418 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 199,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,418) x common factors =1 x 1 = 1
LCM(199,418) = ( 199 × 418 ) / 1
LCM(199,418) = 83182 / 1
LCM(199,418) = 83182
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 145/199, 7109/418
1. What is the HCF of 145,7109?
The HCF of 145,7109 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 145/199, 7109/418?
Answer: GCF of Numerators as per given numbers 145/199, 7109/418 is
GCF of Numerators i.e. for 145,7109 is 1
LCM of denominators i.e. for 199,418 is 83182.
Thus, GCF of Fractions is 1/83182.Finally, GCF of Fractions for 145/199, 7109/418 is 1/83182.