Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/49,305/61,250/751
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 50,305,250
Greatest Common Factor of Numerators i.e. GCF of 50,305,250 is 5 .
LCM of Denominators means LCM of 49,61,751 as per the given fractions.
LCM of 49,61,751 is 2244739 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,305,250
5 | 50, 305, 250 |
10, 61, 50 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
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 50,305,250 . The biggest common factor number is the GCF number.
So the greatest common factor 50,305,250 is 5.
Lets's calculate LCM of 49,61,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 2244739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2244739
Therefore, the GCF of Fractions 50/49,305/61,250/751 is 5/2244739
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 49,61,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,61,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,61,751) x common factors =1 x 1 = 1
LCM(49,61,751) = ( 49 × 61 × 751 ) / 1
LCM(49,61,751) = 2244739 / 1
LCM(49,61,751) = 2244739
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 50/49, 305/61, 250/751?
Answer: GCF of Numerators as per given numbers 50/49, 305/61, 250/751 is
GCF of Numerators i.e. for 50,305,250 is 5
LCM of denominators i.e. for 49,61,751 is 2244739.
Thus, GCF of Fractions is 5/2244739.Finally, GCF of Fractions for 50/49, 305/61, 250/751 is 5/2244739.