GCF of 5938/788, 6085/7140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5938/788, 6085/7140 i.e 1/1406580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5938/788, 6085/7140.
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 5938/788,6085/7140?
Given fractions are 5938/788,6085/7140
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 5938/788,6085/7140, numerators are 5938,6085
Denominators are 788,7140
The GCF of 5938,6085 is 1 .
LCM of 788,7140 is 1406580.
The greatest common factor of 5938/788,6085/7140 = [GCF of 5938,6085]/[LCM of 788,7140]= 1/1406580
Therefore, the GCF of 5938/788,6085/7140 is 1/1406580.
To find the highest common factor of 5938,6085, we have to find the factors of both numbers and list the highest common factor.
The factors of 5938 are 1, 2, 2969, 5938
The factors of 6085 are 1, 5, 1217, 6085
The HCF of 5938,6085 is 1.
Lets's calculate GCF of 5938,6085
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5938,6085 By Matching Biggest Common Factor Method
Now, list down the factors of 5938
:1,2,2969,5938
Now, list down the factors of 6085
:1,5,1217,6085
Greatest Common Factor
We found the factors 5938,6085 . The biggest common factor number is the GCF number.
So the greatest common factor 5938,6085 is 1.
Lets's calculate LCM of 788,7140
| 2 | 788, 7140 |
| 2 | 394, 3570 |
| 197, 1785 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 1785 = 1406580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1406580
Therefore, the GCF of Fractions 5938/788,6085/7140 is 1/1406580
Least Common Multiple of 788,7140 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 788,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,7140) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(788,7140) x common factors =4 x 1 = 4
LCM(788,7140) = ( 788 × 7140 ) / 4
LCM(788,7140) = 5626320 / 4
LCM(788,7140) = 1406580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5938/788, 6085/7140
1. What is the HCF of 5938,6085?
The HCF of 5938,6085 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 5938/788, 6085/7140?
Answer: GCF of Numerators as per given numbers 5938/788, 6085/7140 is
GCF of Numerators i.e. for 5938,6085 is 1
LCM of denominators i.e. for 788,7140 is 1406580.
Thus, GCF of Fractions is 1/1406580.Finally, GCF of Fractions for 5938/788, 6085/7140 is 1/1406580.