Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/939,735/587
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 230,735
Greatest Common Factor of Numerators i.e. GCF of 230,735 is 5 .
LCM of Denominators means LCM of 939,587 as per the given fractions.
LCM of 939,587 is 551193 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 230,735
5 | 230, 735 |
46, 147 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 230,735 . The biggest common factor number is the GCF number.
So the greatest common factor 230,735 is 5.
Lets's calculate LCM of 939,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 551193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/551193
Therefore, the GCF of Fractions 230/939,735/587 is 5/551193
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 939,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,587) x common factors =1 x 1 = 1
LCM(939,587) = ( 939 × 587 ) / 1
LCM(939,587) = 551193 / 1
LCM(939,587) = 551193
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 230/939, 735/587?
Answer: GCF of Numerators as per given numbers 230/939, 735/587 is
GCF of Numerators i.e. for 230,735 is 5
LCM of denominators i.e. for 939,587 is 551193.
Thus, GCF of Fractions is 5/551193.Finally, GCF of Fractions for 230/939, 735/587 is 5/551193.