GCF of 5062/510, 1731/3745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5062/510, 1731/3745 i.e 1/381990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5062/510, 1731/3745.
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 5062/510,1731/3745?
Given fractions are 5062/510,1731/3745
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 5062/510,1731/3745, numerators are 5062,1731
Denominators are 510,3745
The GCF of 5062,1731 is 1 .
LCM of 510,3745 is 381990.
The greatest common factor of 5062/510,1731/3745 = [GCF of 5062,1731]/[LCM of 510,3745]= 1/381990
Therefore, the GCF of 5062/510,1731/3745 is 1/381990.
To find the highest common factor of 5062,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 5062 are 1, 2, 2531, 5062
The factors of 1731 are 1, 3, 577, 1731
The HCF of 5062,1731 is 1.
Lets's calculate GCF of 5062,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5062,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 5062
:1,2,2531,5062
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 5062,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 5062,1731 is 1.
Lets's calculate LCM of 510,3745
| 5 | 510, 3745 |
| 102, 749 |
∴ So the LCM of the given numbers is 5 x 102 x 749 = 381990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381990
Therefore, the GCF of Fractions 5062/510,1731/3745 is 1/381990
Least Common Multiple of 510,3745 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 510,3745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,3745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(510,3745) x common factors =5 x 1 = 5
LCM(510,3745) = ( 510 × 3745 ) / 5
LCM(510,3745) = 1909950 / 5
LCM(510,3745) = 381990
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FAQs on GCF of Fractions of 5062/510, 1731/3745
1. What is the HCF of 5062,1731?
The HCF of 5062,1731 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 5062/510, 1731/3745?
Answer: GCF of Numerators as per given numbers 5062/510, 1731/3745 is
GCF of Numerators i.e. for 5062,1731 is 1
LCM of denominators i.e. for 510,3745 is 381990.
Thus, GCF of Fractions is 1/381990.Finally, GCF of Fractions for 5062/510, 1731/3745 is 1/381990.