GCF of 4339/421, 3137/4109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4339/421, 3137/4109 i.e 1/1729889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4339/421, 3137/4109.
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 4339/421,3137/4109?
Given fractions are 4339/421,3137/4109
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 4339/421,3137/4109, numerators are 4339,3137
Denominators are 421,4109
The GCF of 4339,3137 is 1 .
LCM of 421,4109 is 1729889.
The greatest common factor of 4339/421,3137/4109 = [GCF of 4339,3137]/[LCM of 421,4109]= 1/1729889
Therefore, the GCF of 4339/421,3137/4109 is 1/1729889.
To find the highest common factor of 4339,3137, we have to find the factors of both numbers and list the highest common factor.
The factors of 4339 are 1, 4339
The factors of 3137 are 1, 3137
The HCF of 4339,3137 is 1.
Lets's calculate GCF of 4339,3137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4339,3137 By Matching Biggest Common Factor Method
Now, list down the factors of 4339
:1,4339
Now, list down the factors of 3137
:1,3137
Greatest Common Factor
We found the factors 4339,3137 . The biggest common factor number is the GCF number.
So the greatest common factor 4339,3137 is 1.
Lets's calculate LCM of 421,4109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1729889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1729889
Therefore, the GCF of Fractions 4339/421,3137/4109 is 1/1729889
Least Common Multiple of 421,4109 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 421,4109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4109) x common factors =1 x 1 = 1
LCM(421,4109) = ( 421 × 4109 ) / 1
LCM(421,4109) = 1729889 / 1
LCM(421,4109) = 1729889
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FAQs on GCF of Fractions of 4339/421, 3137/4109
1. What is the HCF of 4339,3137?
The HCF of 4339,3137 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 4339/421, 3137/4109?
Answer: GCF of Numerators as per given numbers 4339/421, 3137/4109 is
GCF of Numerators i.e. for 4339,3137 is 1
LCM of denominators i.e. for 421,4109 is 1729889.
Thus, GCF of Fractions is 1/1729889.Finally, GCF of Fractions for 4339/421, 3137/4109 is 1/1729889.