GCF of 383/71, 141/7196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 383/71, 141/7196 i.e 1/510916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/71, 141/7196.
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 383/71,141/7196?
Given fractions are 383/71,141/7196
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 383/71,141/7196, numerators are 383,141
Denominators are 71,7196
The GCF of 383,141 is 1 .
LCM of 71,7196 is 510916.
The greatest common factor of 383/71,141/7196 = [GCF of 383,141]/[LCM of 71,7196]= 1/510916
Therefore, the GCF of 383/71,141/7196 is 1/510916.
To find the highest common factor of 383,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 141 are 1, 3, 47, 141
The HCF of 383,141 is 1.
Lets's calculate GCF of 383,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 383,141 By Matching Biggest Common Factor Method
Now, list down the factors of 383
:1,383
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 383,141 . The biggest common factor number is the GCF number.
So the greatest common factor 383,141 is 1.
Lets's calculate LCM of 71,7196
Given numbers has no common factors except 1. So, there LCM is their product i.e 510916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510916
Therefore, the GCF of Fractions 383/71,141/7196 is 1/510916
Least Common Multiple of 71,7196 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 71,7196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,7196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,7196) x common factors =1 x 1 = 1
LCM(71,7196) = ( 71 × 7196 ) / 1
LCM(71,7196) = 510916 / 1
LCM(71,7196) = 510916
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FAQs on GCF of Fractions of 383/71, 141/7196
1. What is the HCF of 383,141?
The HCF of 383,141 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 383/71, 141/7196?
Answer: GCF of Numerators as per given numbers 383/71, 141/7196 is
GCF of Numerators i.e. for 383,141 is 1
LCM of denominators i.e. for 71,7196 is 510916.
Thus, GCF of Fractions is 1/510916.Finally, GCF of Fractions for 383/71, 141/7196 is 1/510916.