GCF of 4366/810, 1529/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4366/810, 1529/131 i.e 1/106110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4366/810, 1529/131.
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 4366/810,1529/131?
Given fractions are 4366/810,1529/131
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 4366/810,1529/131, numerators are 4366,1529
Denominators are 810,131
The GCF of 4366,1529 is 1 .
LCM of 810,131 is 106110.
The greatest common factor of 4366/810,1529/131 = [GCF of 4366,1529]/[LCM of 810,131]= 1/106110
Therefore, the GCF of 4366/810,1529/131 is 1/106110.
To find the highest common factor of 4366,1529, we have to find the factors of both numbers and list the highest common factor.
The factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366
The factors of 1529 are 1, 11, 139, 1529
The HCF of 4366,1529 is 1.
Lets's calculate GCF of 4366,1529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4366,1529 By Matching Biggest Common Factor Method
Now, list down the factors of 4366
:1,2,37,59,74,118,2183,4366
Now, list down the factors of 1529
:1,11,139,1529
Greatest Common Factor
We found the factors 4366,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 4366,1529 is 1.
Lets's calculate LCM of 810,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 106110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106110
Therefore, the GCF of Fractions 4366/810,1529/131 is 1/106110
Least Common Multiple of 810,131 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 810,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,131) x common factors =1 x 1 = 1
LCM(810,131) = ( 810 × 131 ) / 1
LCM(810,131) = 106110 / 1
LCM(810,131) = 106110
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FAQs on GCF of Fractions of 4366/810, 1529/131
1. What is the HCF of 4366,1529?
The HCF of 4366,1529 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 4366/810, 1529/131?
Answer: GCF of Numerators as per given numbers 4366/810, 1529/131 is
GCF of Numerators i.e. for 4366,1529 is 1
LCM of denominators i.e. for 810,131 is 106110.
Thus, GCF of Fractions is 1/106110.Finally, GCF of Fractions for 4366/810, 1529/131 is 1/106110.