Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/950,110/711,230/197
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 769,110,230
Greatest Common Factor of Numerators i.e. GCF of 769,110,230 is 1 .
LCM of Denominators means LCM of 950,711,197 as per the given fractions.
LCM of 950,711,197 is 133063650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,110,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 769,110,230 . The biggest common factor number is the GCF number.
So the greatest common factor 769,110,230 is 1.
Lets's calculate LCM of 950,711,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 133063650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133063650
Therefore, the GCF of Fractions 769/950,110/711,230/197 is 1/133063650
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 950,711,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,711,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,711,197) x common factors =1 x 1 = 1
LCM(950,711,197) = ( 950 × 711 × 197 ) / 1
LCM(950,711,197) = 133063650 / 1
LCM(950,711,197) = 133063650
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 769/950, 110/711, 230/197?
Answer: GCF of Numerators as per given numbers 769/950, 110/711, 230/197 is
GCF of Numerators i.e. for 769,110,230 is 1
LCM of denominators i.e. for 950,711,197 is 133063650.
Thus, GCF of Fractions is 1/133063650.Finally, GCF of Fractions for 769/950, 110/711, 230/197 is 1/133063650.