Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/87,30/50,741/247
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 29,30,741
Greatest Common Factor of Numerators i.e. GCF of 29,30,741 is 1 .
LCM of Denominators means LCM of 87,50,247 as per the given fractions.
LCM of 87,50,247 is 1074450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,30,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 29,30,741 . The biggest common factor number is the GCF number.
So the greatest common factor 29,30,741 is 1.
Lets's calculate LCM of 87,50,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 1074450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1074450
Therefore, the GCF of Fractions 29/87,30/50,741/247 is 1/1074450
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 87,50,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,50,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,50,247) x common factors =1 x 1 = 1
LCM(87,50,247) = ( 87 × 50 × 247 ) / 1
LCM(87,50,247) = 1074450 / 1
LCM(87,50,247) = 1074450
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 29/87, 30/50, 741/247?
Answer: GCF of Numerators as per given numbers 29/87, 30/50, 741/247 is
GCF of Numerators i.e. for 29,30,741 is 1
LCM of denominators i.e. for 87,50,247 is 1074450.
Thus, GCF of Fractions is 1/1074450.Finally, GCF of Fractions for 29/87, 30/50, 741/247 is 1/1074450.