GCF of 4021/241, 1435/4171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4021/241, 1435/4171 i.e 1/1005211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4021/241, 1435/4171.
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 4021/241,1435/4171?
Given fractions are 4021/241,1435/4171
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 4021/241,1435/4171, numerators are 4021,1435
Denominators are 241,4171
The GCF of 4021,1435 is 1 .
LCM of 241,4171 is 1005211.
The greatest common factor of 4021/241,1435/4171 = [GCF of 4021,1435]/[LCM of 241,4171]= 1/1005211
Therefore, the GCF of 4021/241,1435/4171 is 1/1005211.
To find the highest common factor of 4021,1435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4021 are 1, 4021
The factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435
The HCF of 4021,1435 is 1.
Lets's calculate GCF of 4021,1435
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4021,1435 By Matching Biggest Common Factor Method
Now, list down the factors of 4021
:1,4021
Now, list down the factors of 1435
:1,5,7,35,41,205,287,1435
Greatest Common Factor
We found the factors 4021,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 4021,1435 is 1.
Lets's calculate LCM of 241,4171
Given numbers has no common factors except 1. So, there LCM is their product i.e 1005211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005211
Therefore, the GCF of Fractions 4021/241,1435/4171 is 1/1005211
Least Common Multiple of 241,4171 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 241,4171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,4171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,4171) x common factors =1 x 1 = 1
LCM(241,4171) = ( 241 × 4171 ) / 1
LCM(241,4171) = 1005211 / 1
LCM(241,4171) = 1005211
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FAQs on GCF of Fractions of 4021/241, 1435/4171
1. What is the HCF of 4021,1435?
The HCF of 4021,1435 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 4021/241, 1435/4171?
Answer: GCF of Numerators as per given numbers 4021/241, 1435/4171 is
GCF of Numerators i.e. for 4021,1435 is 1
LCM of denominators i.e. for 241,4171 is 1005211.
Thus, GCF of Fractions is 1/1005211.Finally, GCF of Fractions for 4021/241, 1435/4171 is 1/1005211.