GCF of 7641/304, 9791/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7641/304, 9791/967 i.e 1/293968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7641/304, 9791/967.
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 7641/304,9791/967?
Given fractions are 7641/304,9791/967
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 7641/304,9791/967, numerators are 7641,9791
Denominators are 304,967
The GCF of 7641,9791 is 1 .
LCM of 304,967 is 293968.
The greatest common factor of 7641/304,9791/967 = [GCF of 7641,9791]/[LCM of 304,967]= 1/293968
Therefore, the GCF of 7641/304,9791/967 is 1/293968.
To find the highest common factor of 7641,9791, we have to find the factors of both numbers and list the highest common factor.
The factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641
The factors of 9791 are 1, 9791
The HCF of 7641,9791 is 1.
Lets's calculate GCF of 7641,9791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7641,9791 By Matching Biggest Common Factor Method
Now, list down the factors of 7641
:1,3,9,27,283,849,2547,7641
Now, list down the factors of 9791
:1,9791
Greatest Common Factor
We found the factors 7641,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 7641,9791 is 1.
Lets's calculate LCM of 304,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 293968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293968
Therefore, the GCF of Fractions 7641/304,9791/967 is 1/293968
Least Common Multiple of 304,967 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 304,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,967) x common factors =1 x 1 = 1
LCM(304,967) = ( 304 × 967 ) / 1
LCM(304,967) = 293968 / 1
LCM(304,967) = 293968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7641/304, 9791/967
1. What is the HCF of 7641,9791?
The HCF of 7641,9791 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 7641/304, 9791/967?
Answer: GCF of Numerators as per given numbers 7641/304, 9791/967 is
GCF of Numerators i.e. for 7641,9791 is 1
LCM of denominators i.e. for 304,967 is 293968.
Thus, GCF of Fractions is 1/293968.Finally, GCF of Fractions for 7641/304, 9791/967 is 1/293968.