GCF of 349/99, 905/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 349/99, 905/419 i.e 1/41481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/99, 905/419.
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 349/99,905/419?
Given fractions are 349/99,905/419
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 349/99,905/419, numerators are 349,905
Denominators are 99,419
The GCF of 349,905 is 1 .
LCM of 99,419 is 41481.
The greatest common factor of 349/99,905/419 = [GCF of 349,905]/[LCM of 99,419]= 1/41481
Therefore, the GCF of 349/99,905/419 is 1/41481.
To find the highest common factor of 349,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 349 are 1, 349
The factors of 905 are 1, 5, 181, 905
The HCF of 349,905 is 1.
Lets's calculate GCF of 349,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 349,905 By Matching Biggest Common Factor Method
Now, list down the factors of 349
:1,349
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 349,905 . The biggest common factor number is the GCF number.
So the greatest common factor 349,905 is 1.
Lets's calculate LCM of 99,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 41481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41481
Therefore, the GCF of Fractions 349/99,905/419 is 1/41481
Least Common Multiple of 99,419 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 99,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,419) x common factors =1 x 1 = 1
LCM(99,419) = ( 99 × 419 ) / 1
LCM(99,419) = 41481 / 1
LCM(99,419) = 41481
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 349/99, 905/419
1. What is the HCF of 349,905?
The HCF of 349,905 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 349/99, 905/419?
Answer: GCF of Numerators as per given numbers 349/99, 905/419 is
GCF of Numerators i.e. for 349,905 is 1
LCM of denominators i.e. for 99,419 is 41481.
Thus, GCF of Fractions is 1/41481.Finally, GCF of Fractions for 349/99, 905/419 is 1/41481.