GCF of 3401/131, 1851/9728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3401/131, 1851/9728 i.e 1/1274368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3401/131, 1851/9728.
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 3401/131,1851/9728?
Given fractions are 3401/131,1851/9728
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 3401/131,1851/9728, numerators are 3401,1851
Denominators are 131,9728
The GCF of 3401,1851 is 1 .
LCM of 131,9728 is 1274368.
The greatest common factor of 3401/131,1851/9728 = [GCF of 3401,1851]/[LCM of 131,9728]= 1/1274368
Therefore, the GCF of 3401/131,1851/9728 is 1/1274368.
To find the highest common factor of 3401,1851, we have to find the factors of both numbers and list the highest common factor.
The factors of 3401 are 1, 19, 179, 3401
The factors of 1851 are 1, 3, 617, 1851
The HCF of 3401,1851 is 1.
Lets's calculate GCF of 3401,1851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3401,1851 By Matching Biggest Common Factor Method
Now, list down the factors of 3401
:1,19,179,3401
Now, list down the factors of 1851
:1,3,617,1851
Greatest Common Factor
We found the factors 3401,1851 . The biggest common factor number is the GCF number.
So the greatest common factor 3401,1851 is 1.
Lets's calculate LCM of 131,9728
Given numbers has no common factors except 1. So, there LCM is their product i.e 1274368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1274368
Therefore, the GCF of Fractions 3401/131,1851/9728 is 1/1274368
Least Common Multiple of 131,9728 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 131,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,9728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,9728) x common factors =1 x 1 = 1
LCM(131,9728) = ( 131 × 9728 ) / 1
LCM(131,9728) = 1274368 / 1
LCM(131,9728) = 1274368
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FAQs on GCF of Fractions of 3401/131, 1851/9728
1. What is the HCF of 3401,1851?
The HCF of 3401,1851 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 3401/131, 1851/9728?
Answer: GCF of Numerators as per given numbers 3401/131, 1851/9728 is
GCF of Numerators i.e. for 3401,1851 is 1
LCM of denominators i.e. for 131,9728 is 1274368.
Thus, GCF of Fractions is 1/1274368.Finally, GCF of Fractions for 3401/131, 1851/9728 is 1/1274368.