Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 872/839,107/223
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 872,107
Greatest Common Factor of Numerators i.e. GCF of 872,107 is 1 .
LCM of Denominators means LCM of 839,223 as per the given fractions.
LCM of 839,223 is 187097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 872,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 872,107 . The biggest common factor number is the GCF number.
So the greatest common factor 872,107 is 1.
Lets's calculate LCM of 839,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 187097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187097
Therefore, the GCF of Fractions 872/839,107/223 is 1/187097
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 839,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,223) x common factors =1 x 1 = 1
LCM(839,223) = ( 839 × 223 ) / 1
LCM(839,223) = 187097 / 1
LCM(839,223) = 187097
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 872/839, 107/223?
Answer: GCF of Numerators as per given numbers 872/839, 107/223 is
GCF of Numerators i.e. for 872,107 is 1
LCM of denominators i.e. for 839,223 is 187097.
Thus, GCF of Fractions is 1/187097.Finally, GCF of Fractions for 872/839, 107/223 is 1/187097.