GCF of 7061/609, 7342/7619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7061/609, 7342/7619 i.e 1/4639971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7061/609, 7342/7619.
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 7061/609,7342/7619?
Given fractions are 7061/609,7342/7619
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 7061/609,7342/7619, numerators are 7061,7342
Denominators are 609,7619
The GCF of 7061,7342 is 1 .
LCM of 609,7619 is 4639971.
The greatest common factor of 7061/609,7342/7619 = [GCF of 7061,7342]/[LCM of 609,7619]= 1/4639971
Therefore, the GCF of 7061/609,7342/7619 is 1/4639971.
To find the highest common factor of 7061,7342, we have to find the factors of both numbers and list the highest common factor.
The factors of 7061 are 1, 23, 307, 7061
The factors of 7342 are 1, 2, 3671, 7342
The HCF of 7061,7342 is 1.
Lets's calculate GCF of 7061,7342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7061,7342 By Matching Biggest Common Factor Method
Now, list down the factors of 7061
:1,23,307,7061
Now, list down the factors of 7342
:1,2,3671,7342
Greatest Common Factor
We found the factors 7061,7342 . The biggest common factor number is the GCF number.
So the greatest common factor 7061,7342 is 1.
Lets's calculate LCM of 609,7619
Given numbers has no common factors except 1. So, there LCM is their product i.e 4639971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4639971
Therefore, the GCF of Fractions 7061/609,7342/7619 is 1/4639971
Least Common Multiple of 609,7619 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 609,7619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,7619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,7619) x common factors =1 x 1 = 1
LCM(609,7619) = ( 609 × 7619 ) / 1
LCM(609,7619) = 4639971 / 1
LCM(609,7619) = 4639971
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7061/609, 7342/7619
1. What is the HCF of 7061,7342?
The HCF of 7061,7342 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 7061/609, 7342/7619?
Answer: GCF of Numerators as per given numbers 7061/609, 7342/7619 is
GCF of Numerators i.e. for 7061,7342 is 1
LCM of denominators i.e. for 609,7619 is 4639971.
Thus, GCF of Fractions is 1/4639971.Finally, GCF of Fractions for 7061/609, 7342/7619 is 1/4639971.