Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/89,615/49,707/639
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 50,615,707
Greatest Common Factor of Numerators i.e. GCF of 50,615,707 is 1 .
LCM of Denominators means LCM of 89,49,639 as per the given fractions.
LCM of 89,49,639 is 2786679 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,615,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 50,615,707 . The biggest common factor number is the GCF number.
So the greatest common factor 50,615,707 is 1.
Lets's calculate LCM of 89,49,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 2786679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2786679
Therefore, the GCF of Fractions 50/89,615/49,707/639 is 1/2786679
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 89,49,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,49,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,49,639) x common factors =1 x 1 = 1
LCM(89,49,639) = ( 89 × 49 × 639 ) / 1
LCM(89,49,639) = 2786679 / 1
LCM(89,49,639) = 2786679
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 50/89, 615/49, 707/639?
Answer: GCF of Numerators as per given numbers 50/89, 615/49, 707/639 is
GCF of Numerators i.e. for 50,615,707 is 1
LCM of denominators i.e. for 89,49,639 is 2786679.
Thus, GCF of Fractions is 1/2786679.Finally, GCF of Fractions for 50/89, 615/49, 707/639 is 1/2786679.