GCF of 2037/169, 1031/4231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2037/169, 1031/4231 i.e 1/715039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2037/169, 1031/4231.
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 2037/169,1031/4231?
Given fractions are 2037/169,1031/4231
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 2037/169,1031/4231, numerators are 2037,1031
Denominators are 169,4231
The GCF of 2037,1031 is 1 .
LCM of 169,4231 is 715039.
The greatest common factor of 2037/169,1031/4231 = [GCF of 2037,1031]/[LCM of 169,4231]= 1/715039
Therefore, the GCF of 2037/169,1031/4231 is 1/715039.
To find the highest common factor of 2037,1031, we have to find the factors of both numbers and list the highest common factor.
The factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037
The factors of 1031 are 1, 1031
The HCF of 2037,1031 is 1.
Lets's calculate GCF of 2037,1031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2037,1031 By Matching Biggest Common Factor Method
Now, list down the factors of 2037
:1,3,7,21,97,291,679,2037
Now, list down the factors of 1031
:1,1031
Greatest Common Factor
We found the factors 2037,1031 . The biggest common factor number is the GCF number.
So the greatest common factor 2037,1031 is 1.
Lets's calculate LCM of 169,4231
Given numbers has no common factors except 1. So, there LCM is their product i.e 715039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/715039
Therefore, the GCF of Fractions 2037/169,1031/4231 is 1/715039
Least Common Multiple of 169,4231 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 169,4231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,4231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,4231) x common factors =1 x 1 = 1
LCM(169,4231) = ( 169 × 4231 ) / 1
LCM(169,4231) = 715039 / 1
LCM(169,4231) = 715039
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FAQs on GCF of Fractions of 2037/169, 1031/4231
1. What is the HCF of 2037,1031?
The HCF of 2037,1031 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 2037/169, 1031/4231?
Answer: GCF of Numerators as per given numbers 2037/169, 1031/4231 is
GCF of Numerators i.e. for 2037,1031 is 1
LCM of denominators i.e. for 169,4231 is 715039.
Thus, GCF of Fractions is 1/715039.Finally, GCF of Fractions for 2037/169, 1031/4231 is 1/715039.