GCF of 2129/281, 4686/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2129/281, 4686/1912 i.e 1/537272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2129/281, 4686/1912.
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 2129/281,4686/1912?
Given fractions are 2129/281,4686/1912
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 2129/281,4686/1912, numerators are 2129,4686
Denominators are 281,1912
The GCF of 2129,4686 is 1 .
LCM of 281,1912 is 537272.
The greatest common factor of 2129/281,4686/1912 = [GCF of 2129,4686]/[LCM of 281,1912]= 1/537272
Therefore, the GCF of 2129/281,4686/1912 is 1/537272.
To find the highest common factor of 2129,4686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2129 are 1, 2129
The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686
The HCF of 2129,4686 is 1.
Lets's calculate GCF of 2129,4686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2129,4686 By Matching Biggest Common Factor Method
Now, list down the factors of 2129
:1,2129
Now, list down the factors of 4686
:1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686
Greatest Common Factor
We found the factors 2129,4686 . The biggest common factor number is the GCF number.
So the greatest common factor 2129,4686 is 1.
Lets's calculate LCM of 281,1912
Given numbers has no common factors except 1. So, there LCM is their product i.e 537272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537272
Therefore, the GCF of Fractions 2129/281,4686/1912 is 1/537272
Least Common Multiple of 281,1912 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 281,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,1912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,1912) x common factors =1 x 1 = 1
LCM(281,1912) = ( 281 × 1912 ) / 1
LCM(281,1912) = 537272 / 1
LCM(281,1912) = 537272
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FAQs on GCF of Fractions of 2129/281, 4686/1912
1. What is the HCF of 2129,4686?
The HCF of 2129,4686 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 2129/281, 4686/1912?
Answer: GCF of Numerators as per given numbers 2129/281, 4686/1912 is
GCF of Numerators i.e. for 2129,4686 is 1
LCM of denominators i.e. for 281,1912 is 537272.
Thus, GCF of Fractions is 1/537272.Finally, GCF of Fractions for 2129/281, 4686/1912 is 1/537272.