GCF of 4559/565, 1985/7134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4559/565, 1985/7134 i.e 1/4030710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4559/565, 1985/7134.
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 4559/565,1985/7134?
Given fractions are 4559/565,1985/7134
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 4559/565,1985/7134, numerators are 4559,1985
Denominators are 565,7134
The GCF of 4559,1985 is 1 .
LCM of 565,7134 is 4030710.
The greatest common factor of 4559/565,1985/7134 = [GCF of 4559,1985]/[LCM of 565,7134]= 1/4030710
Therefore, the GCF of 4559/565,1985/7134 is 1/4030710.
To find the highest common factor of 4559,1985, we have to find the factors of both numbers and list the highest common factor.
The factors of 4559 are 1, 47, 97, 4559
The factors of 1985 are 1, 5, 397, 1985
The HCF of 4559,1985 is 1.
Lets's calculate GCF of 4559,1985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4559,1985 By Matching Biggest Common Factor Method
Now, list down the factors of 4559
:1,47,97,4559
Now, list down the factors of 1985
:1,5,397,1985
Greatest Common Factor
We found the factors 4559,1985 . The biggest common factor number is the GCF number.
So the greatest common factor 4559,1985 is 1.
Lets's calculate LCM of 565,7134
Given numbers has no common factors except 1. So, there LCM is their product i.e 4030710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4030710
Therefore, the GCF of Fractions 4559/565,1985/7134 is 1/4030710
Least Common Multiple of 565,7134 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 565,7134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,7134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,7134) x common factors =1 x 1 = 1
LCM(565,7134) = ( 565 × 7134 ) / 1
LCM(565,7134) = 4030710 / 1
LCM(565,7134) = 4030710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4559/565, 1985/7134
1. What is the HCF of 4559,1985?
The HCF of 4559,1985 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 4559/565, 1985/7134?
Answer: GCF of Numerators as per given numbers 4559/565, 1985/7134 is
GCF of Numerators i.e. for 4559,1985 is 1
LCM of denominators i.e. for 565,7134 is 4030710.
Thus, GCF of Fractions is 1/4030710.Finally, GCF of Fractions for 4559/565, 1985/7134 is 1/4030710.