GCF of 5785/938, 5930/1016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5785/938, 5930/1016 i.e 5/476504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5785/938, 5930/1016.
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 5785/938,5930/1016?
Given fractions are 5785/938,5930/1016
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 5785/938,5930/1016, numerators are 5785,5930
Denominators are 938,1016
The GCF of 5785,5930 is 5 .
LCM of 938,1016 is 476504.
The greatest common factor of 5785/938,5930/1016 = [GCF of 5785,5930]/[LCM of 938,1016]= 5/476504
Therefore, the GCF of 5785/938,5930/1016 is 5/476504.
To find the highest common factor of 5785,5930, we have to find the factors of both numbers and list the highest common factor.
The factors of 5785 are 1, 5, 13, 65, 89, 445, 1157, 5785
The factors of 5930 are 1, 2, 5, 10, 593, 1186, 2965, 5930
The HCF of 5785,5930 is 5.
Lets's calculate GCF of 5785,5930
| 5 | 5785, 5930 |
| 1157, 1186 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5785,5930 By Matching Biggest Common Factor Method
Now, list down the factors of 5785
:1,5,13,65,89,445,1157,5785
Now, list down the factors of 5930
:1,2,5,10,593,1186,2965,5930
Greatest Common Factor
We found the factors 5785,5930 . The biggest common factor number is the GCF number.
So the greatest common factor 5785,5930 is 5.
Lets's calculate LCM of 938,1016
| 2 | 938, 1016 |
| 469, 508 |
∴ So the LCM of the given numbers is 2 x 469 x 508 = 476504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/476504
Therefore, the GCF of Fractions 5785/938,5930/1016 is 5/476504
Least Common Multiple of 938,1016 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 938,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,1016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,1016) x common factors =2 x 1 = 2
LCM(938,1016) = ( 938 × 1016 ) / 2
LCM(938,1016) = 953008 / 2
LCM(938,1016) = 476504
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5785/938, 5930/1016
1. What is the HCF of 5785,5930?
The HCF of 5785,5930 is 5
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 5785/938, 5930/1016?
Answer: GCF of Numerators as per given numbers 5785/938, 5930/1016 is
GCF of Numerators i.e. for 5785,5930 is 5
LCM of denominators i.e. for 938,1016 is 476504.
Thus, GCF of Fractions is 5/476504.Finally, GCF of Fractions for 5785/938, 5930/1016 is 5/476504.