Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/73,711/55,250/123
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 832,711,250
Greatest Common Factor of Numerators i.e. GCF of 832,711,250 is 1 .
LCM of Denominators means LCM of 73,55,123 as per the given fractions.
LCM of 73,55,123 is 493845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,711,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 832,711,250 . The biggest common factor number is the GCF number.
So the greatest common factor 832,711,250 is 1.
Lets's calculate LCM of 73,55,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 493845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493845
Therefore, the GCF of Fractions 832/73,711/55,250/123 is 1/493845
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 73,55,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,55,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,55,123) x common factors =1 x 1 = 1
LCM(73,55,123) = ( 73 × 55 × 123 ) / 1
LCM(73,55,123) = 493845 / 1
LCM(73,55,123) = 493845
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 832/73, 711/55, 250/123?
Answer: GCF of Numerators as per given numbers 832/73, 711/55, 250/123 is
GCF of Numerators i.e. for 832,711,250 is 1
LCM of denominators i.e. for 73,55,123 is 493845.
Thus, GCF of Fractions is 1/493845.Finally, GCF of Fractions for 832/73, 711/55, 250/123 is 1/493845.