Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/403,247/711
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 70,247
Greatest Common Factor of Numerators i.e. GCF of 70,247 is 1 .
LCM of Denominators means LCM of 403,711 as per the given fractions.
LCM of 403,711 is 286533 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 70,247 . The biggest common factor number is the GCF number.
So the greatest common factor 70,247 is 1.
Lets's calculate LCM of 403,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 286533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286533
Therefore, the GCF of Fractions 70/403,247/711 is 1/286533
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 403,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,711) x common factors =1 x 1 = 1
LCM(403,711) = ( 403 × 711 ) / 1
LCM(403,711) = 286533 / 1
LCM(403,711) = 286533
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 70/403, 247/711?
Answer: GCF of Numerators as per given numbers 70/403, 247/711 is
GCF of Numerators i.e. for 70,247 is 1
LCM of denominators i.e. for 403,711 is 286533.
Thus, GCF of Fractions is 1/286533.Finally, GCF of Fractions for 70/403, 247/711 is 1/286533.