Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/22,287/8691
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 833,287
Greatest Common Factor of Numerators i.e. GCF of 833,287 is 7 .
LCM of Denominators means LCM of 22,8691 as per the given fractions.
LCM of 22,8691 is 191202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 833,287
7 | 833, 287 |
119, 41 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 833,287 . The biggest common factor number is the GCF number.
So the greatest common factor 833,287 is 7.
Lets's calculate LCM of 22,8691
Given numbers has no common factors except 1. So, there LCM is their product i.e 191202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/191202
Therefore, the GCF of Fractions 833/22,287/8691 is 7/191202
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 22,8691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,8691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,8691) x common factors =1 x 1 = 1
LCM(22,8691) = ( 22 × 8691 ) / 1
LCM(22,8691) = 191202 / 1
LCM(22,8691) = 191202
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 833/22, 287/8691?
Answer: GCF of Numerators as per given numbers 833/22, 287/8691 is
GCF of Numerators i.e. for 833,287 is 7
LCM of denominators i.e. for 22,8691 is 191202.
Thus, GCF of Fractions is 7/191202.Finally, GCF of Fractions for 833/22, 287/8691 is 7/191202.