GCF of 9057/919, 5834/1670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9057/919, 5834/1670 i.e 1/1534730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9057/919, 5834/1670.
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 9057/919,5834/1670?
Given fractions are 9057/919,5834/1670
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 9057/919,5834/1670, numerators are 9057,5834
Denominators are 919,1670
The GCF of 9057,5834 is 1 .
LCM of 919,1670 is 1534730.
The greatest common factor of 9057/919,5834/1670 = [GCF of 9057,5834]/[LCM of 919,1670]= 1/1534730
Therefore, the GCF of 9057/919,5834/1670 is 1/1534730.
To find the highest common factor of 9057,5834, we have to find the factors of both numbers and list the highest common factor.
The factors of 9057 are 1, 3, 3019, 9057
The factors of 5834 are 1, 2, 2917, 5834
The HCF of 9057,5834 is 1.
Lets's calculate GCF of 9057,5834
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9057,5834 By Matching Biggest Common Factor Method
Now, list down the factors of 9057
:1,3,3019,9057
Now, list down the factors of 5834
:1,2,2917,5834
Greatest Common Factor
We found the factors 9057,5834 . The biggest common factor number is the GCF number.
So the greatest common factor 9057,5834 is 1.
Lets's calculate LCM of 919,1670
Given numbers has no common factors except 1. So, there LCM is their product i.e 1534730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1534730
Therefore, the GCF of Fractions 9057/919,5834/1670 is 1/1534730
Least Common Multiple of 919,1670 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 919,1670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,1670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,1670) x common factors =1 x 1 = 1
LCM(919,1670) = ( 919 × 1670 ) / 1
LCM(919,1670) = 1534730 / 1
LCM(919,1670) = 1534730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9057/919, 5834/1670
1. What is the HCF of 9057,5834?
The HCF of 9057,5834 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 9057/919, 5834/1670?
Answer: GCF of Numerators as per given numbers 9057/919, 5834/1670 is
GCF of Numerators i.e. for 9057,5834 is 1
LCM of denominators i.e. for 919,1670 is 1534730.
Thus, GCF of Fractions is 1/1534730.Finally, GCF of Fractions for 9057/919, 5834/1670 is 1/1534730.