GCF of 4241/544, 2834/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4241/544, 2834/365 i.e 1/198560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4241/544, 2834/365.
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 4241/544,2834/365?
Given fractions are 4241/544,2834/365
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 4241/544,2834/365, numerators are 4241,2834
Denominators are 544,365
The GCF of 4241,2834 is 1 .
LCM of 544,365 is 198560.
The greatest common factor of 4241/544,2834/365 = [GCF of 4241,2834]/[LCM of 544,365]= 1/198560
Therefore, the GCF of 4241/544,2834/365 is 1/198560.
To find the highest common factor of 4241,2834, we have to find the factors of both numbers and list the highest common factor.
The factors of 4241 are 1, 4241
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 4241,2834 is 1.
Lets's calculate GCF of 4241,2834
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4241,2834 By Matching Biggest Common Factor Method
Now, list down the factors of 4241
:1,4241
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 4241,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 4241,2834 is 1.
Lets's calculate LCM of 544,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 198560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198560
Therefore, the GCF of Fractions 4241/544,2834/365 is 1/198560
Least Common Multiple of 544,365 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 544,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(544,365) x common factors =1 x 1 = 1
LCM(544,365) = ( 544 × 365 ) / 1
LCM(544,365) = 198560 / 1
LCM(544,365) = 198560
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FAQs on GCF of Fractions of 4241/544, 2834/365
1. What is the HCF of 4241,2834?
The HCF of 4241,2834 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 4241/544, 2834/365?
Answer: GCF of Numerators as per given numbers 4241/544, 2834/365 is
GCF of Numerators i.e. for 4241,2834 is 1
LCM of denominators i.e. for 544,365 is 198560.
Thus, GCF of Fractions is 1/198560.Finally, GCF of Fractions for 4241/544, 2834/365 is 1/198560.