Use our free GCF of Fractions Calculator tool to compute the GCF of 841/767, 131/796 i.e 1/610532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/767, 131/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/767,131/796
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 841/767,131/796, numerators are 841,131
Denominators are 767,796
The GCF of 841,131 is 1 .
LCM of 767,796 is 610532.
The greatest common factor of 841/767,131/796 = [GCF of 841,131]/[LCM of 767,796]= 1/610532
Therefore, the GCF of 841/767,131/796 is 1/610532.
To find the highest common factor of 841,131, we have to find the factors of both numbers and list the highest common factor.
The factors of 841 are 1, 29, 841
The factors of 131 are 1, 131
The HCF of 841,131 is 1.
Lets's calculate GCF of 841,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 131
:1,131
Greatest Common Factor
We found the factors 841,131 . The biggest common factor number is the GCF number.
So the greatest common factor 841,131 is 1.
Lets's calculate LCM of 767,796
Given numbers has no common factors except 1. So, there LCM is their product i.e 610532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610532
Therefore, the GCF of Fractions 841/767,131/796 is 1/610532
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 767,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,796) x common factors =1 x 1 = 1
LCM(767,796) = ( 767 × 796 ) / 1
LCM(767,796) = 610532 / 1
LCM(767,796) = 610532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 841,131?
The HCF of 841,131 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 841/767, 131/796?
Answer: GCF of Numerators as per given numbers 841/767, 131/796 is
GCF of Numerators i.e. for 841,131 is 1
LCM of denominators i.e. for 767,796 is 610532.
Thus, GCF of Fractions is 1/610532.Finally, GCF of Fractions for 841/767, 131/796 is 1/610532.