Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 430/221,785/300
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 430,785
Greatest Common Factor of Numerators i.e. GCF of 430,785 is 5 .
LCM of Denominators means LCM of 221,300 as per the given fractions.
LCM of 221,300 is 66300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 430,785
5 | 430, 785 |
86, 157 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 430,785 . The biggest common factor number is the GCF number.
So the greatest common factor 430,785 is 5.
Lets's calculate LCM of 221,300
Given numbers has no common factors except 1. So, there LCM is their product i.e 66300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/66300
Therefore, the GCF of Fractions 430/221,785/300 is 5/66300
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 221,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,300) x common factors =1 x 1 = 1
LCM(221,300) = ( 221 × 300 ) / 1
LCM(221,300) = 66300 / 1
LCM(221,300) = 66300
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 430/221, 785/300?
Answer: GCF of Numerators as per given numbers 430/221, 785/300 is
GCF of Numerators i.e. for 430,785 is 5
LCM of denominators i.e. for 221,300 is 66300.
Thus, GCF of Fractions is 5/66300.Finally, GCF of Fractions for 430/221, 785/300 is 5/66300.