Use our free GCF of Fractions Calculator tool to compute the GCF of 926/218, 833/787 i.e 1/171566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/218, 833/787.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/218,833/787
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 926/218,833/787, numerators are 926,833
Denominators are 218,787
The GCF of 926,833 is 1 .
LCM of 218,787 is 171566.
The greatest common factor of 926/218,833/787 = [GCF of 926,833]/[LCM of 218,787]= 1/171566
Therefore, the GCF of 926/218,833/787 is 1/171566.
To find the highest common factor of 926,833, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 833 are 1, 7, 17, 49, 119, 833
The HCF of 926,833 is 1.
Lets's calculate GCF of 926,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 926,833 . The biggest common factor number is the GCF number.
So the greatest common factor 926,833 is 1.
Lets's calculate LCM of 218,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 171566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171566
Therefore, the GCF of Fractions 926/218,833/787 is 1/171566
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 218,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,787) x common factors =1 x 1 = 1
LCM(218,787) = ( 218 × 787 ) / 1
LCM(218,787) = 171566 / 1
LCM(218,787) = 171566
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 926,833?
The HCF of 926,833 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 926/218, 833/787?
Answer: GCF of Numerators as per given numbers 926/218, 833/787 is
GCF of Numerators i.e. for 926,833 is 1
LCM of denominators i.e. for 218,787 is 171566.
Thus, GCF of Fractions is 1/171566.Finally, GCF of Fractions for 926/218, 833/787 is 1/171566.