GCF of 4031/287, 1028/9379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4031/287, 1028/9379 i.e 1/2691773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4031/287, 1028/9379.
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 4031/287,1028/9379?
Given fractions are 4031/287,1028/9379
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 4031/287,1028/9379, numerators are 4031,1028
Denominators are 287,9379
The GCF of 4031,1028 is 1 .
LCM of 287,9379 is 2691773.
The greatest common factor of 4031/287,1028/9379 = [GCF of 4031,1028]/[LCM of 287,9379]= 1/2691773
Therefore, the GCF of 4031/287,1028/9379 is 1/2691773.
To find the highest common factor of 4031,1028, we have to find the factors of both numbers and list the highest common factor.
The factors of 4031 are 1, 29, 139, 4031
The factors of 1028 are 1, 2, 4, 257, 514, 1028
The HCF of 4031,1028 is 1.
Lets's calculate GCF of 4031,1028
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4031,1028 By Matching Biggest Common Factor Method
Now, list down the factors of 4031
:1,29,139,4031
Now, list down the factors of 1028
:1,2,4,257,514,1028
Greatest Common Factor
We found the factors 4031,1028 . The biggest common factor number is the GCF number.
So the greatest common factor 4031,1028 is 1.
Lets's calculate LCM of 287,9379
Given numbers has no common factors except 1. So, there LCM is their product i.e 2691773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2691773
Therefore, the GCF of Fractions 4031/287,1028/9379 is 1/2691773
Least Common Multiple of 287,9379 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 287,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,9379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,9379) x common factors =1 x 1 = 1
LCM(287,9379) = ( 287 × 9379 ) / 1
LCM(287,9379) = 2691773 / 1
LCM(287,9379) = 2691773
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FAQs on GCF of Fractions of 4031/287, 1028/9379
1. What is the HCF of 4031,1028?
The HCF of 4031,1028 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 4031/287, 1028/9379?
Answer: GCF of Numerators as per given numbers 4031/287, 1028/9379 is
GCF of Numerators i.e. for 4031,1028 is 1
LCM of denominators i.e. for 287,9379 is 2691773.
Thus, GCF of Fractions is 1/2691773.Finally, GCF of Fractions for 4031/287, 1028/9379 is 1/2691773.