GCF of 6113/929, 9444/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6113/929, 9444/755 i.e 1/701395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6113/929, 9444/755.
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 6113/929,9444/755?
Given fractions are 6113/929,9444/755
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 6113/929,9444/755, numerators are 6113,9444
Denominators are 929,755
The GCF of 6113,9444 is 1 .
LCM of 929,755 is 701395.
The greatest common factor of 6113/929,9444/755 = [GCF of 6113,9444]/[LCM of 929,755]= 1/701395
Therefore, the GCF of 6113/929,9444/755 is 1/701395.
To find the highest common factor of 6113,9444, we have to find the factors of both numbers and list the highest common factor.
The factors of 6113 are 1, 6113
The factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444
The HCF of 6113,9444 is 1.
Lets's calculate GCF of 6113,9444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6113,9444 By Matching Biggest Common Factor Method
Now, list down the factors of 6113
:1,6113
Now, list down the factors of 9444
:1,2,3,4,6,12,787,1574,2361,3148,4722,9444
Greatest Common Factor
We found the factors 6113,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 6113,9444 is 1.
Lets's calculate LCM of 929,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 701395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701395
Therefore, the GCF of Fractions 6113/929,9444/755 is 1/701395
Least Common Multiple of 929,755 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 929,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,755) x common factors =1 x 1 = 1
LCM(929,755) = ( 929 × 755 ) / 1
LCM(929,755) = 701395 / 1
LCM(929,755) = 701395
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6113/929, 9444/755
1. What is the HCF of 6113,9444?
The HCF of 6113,9444 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 6113/929, 9444/755?
Answer: GCF of Numerators as per given numbers 6113/929, 9444/755 is
GCF of Numerators i.e. for 6113,9444 is 1
LCM of denominators i.e. for 929,755 is 701395.
Thus, GCF of Fractions is 1/701395.Finally, GCF of Fractions for 6113/929, 9444/755 is 1/701395.