GCF of 4936/455, 3349/9537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/455, 3349/9537 i.e 1/4339335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/455, 3349/9537.
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 4936/455,3349/9537?
Given fractions are 4936/455,3349/9537
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 4936/455,3349/9537, numerators are 4936,3349
Denominators are 455,9537
The GCF of 4936,3349 is 1 .
LCM of 455,9537 is 4339335.
The greatest common factor of 4936/455,3349/9537 = [GCF of 4936,3349]/[LCM of 455,9537]= 1/4339335
Therefore, the GCF of 4936/455,3349/9537 is 1/4339335.
To find the highest common factor of 4936,3349, we have to find the factors of both numbers and list the highest common factor.
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The factors of 3349 are 1, 17, 197, 3349
The HCF of 4936,3349 is 1.
Lets's calculate GCF of 4936,3349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4936,3349 By Matching Biggest Common Factor Method
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 3349
:1,17,197,3349
Greatest Common Factor
We found the factors 4936,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,3349 is 1.
Lets's calculate LCM of 455,9537
Given numbers has no common factors except 1. So, there LCM is their product i.e 4339335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4339335
Therefore, the GCF of Fractions 4936/455,3349/9537 is 1/4339335
Least Common Multiple of 455,9537 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 455,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,9537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,9537) x common factors =1 x 1 = 1
LCM(455,9537) = ( 455 × 9537 ) / 1
LCM(455,9537) = 4339335 / 1
LCM(455,9537) = 4339335
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4936/455, 3349/9537
1. What is the HCF of 4936,3349?
The HCF of 4936,3349 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 4936/455, 3349/9537?
Answer: GCF of Numerators as per given numbers 4936/455, 3349/9537 is
GCF of Numerators i.e. for 4936,3349 is 1
LCM of denominators i.e. for 455,9537 is 4339335.
Thus, GCF of Fractions is 1/4339335.Finally, GCF of Fractions for 4936/455, 3349/9537 is 1/4339335.