Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 430/998,230/567
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 430,230
Greatest Common Factor of Numerators i.e. GCF of 430,230 is 10 .
LCM of Denominators means LCM of 998,567 as per the given fractions.
LCM of 998,567 is 565866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 430,230
2 | 430, 230 |
5 | 215, 115 |
43, 23 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 430,230 . The biggest common factor number is the GCF number.
So the greatest common factor 430,230 is 10.
Lets's calculate LCM of 998,567
Given numbers has no common factors except 1. So, there LCM is their product i.e 565866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/565866
Therefore, the GCF of Fractions 430/998,230/567 is 10/565866
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 998,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,567) x common factors =1 x 1 = 1
LCM(998,567) = ( 998 × 567 ) / 1
LCM(998,567) = 565866 / 1
LCM(998,567) = 565866
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 430/998, 230/567?
Answer: GCF of Numerators as per given numbers 430/998, 230/567 is
GCF of Numerators i.e. for 430,230 is 10
LCM of denominators i.e. for 998,567 is 565866.
Thus, GCF of Fractions is 10/565866.Finally, GCF of Fractions for 430/998, 230/567 is 10/565866.