Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/232,650/127
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 270,650
Greatest Common Factor of Numerators i.e. GCF of 270,650 is 10 .
LCM of Denominators means LCM of 232,127 as per the given fractions.
LCM of 232,127 is 29464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,650
2 | 270, 650 |
5 | 135, 325 |
27, 65 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 270,650 . The biggest common factor number is the GCF number.
So the greatest common factor 270,650 is 10.
Lets's calculate LCM of 232,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 29464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/29464
Therefore, the GCF of Fractions 270/232,650/127 is 10/29464
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 232,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,127) x common factors =1 x 1 = 1
LCM(232,127) = ( 232 × 127 ) / 1
LCM(232,127) = 29464 / 1
LCM(232,127) = 29464
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 270/232, 650/127?
Answer: GCF of Numerators as per given numbers 270/232, 650/127 is
GCF of Numerators i.e. for 270,650 is 10
LCM of denominators i.e. for 232,127 is 29464.
Thus, GCF of Fractions is 10/29464.Finally, GCF of Fractions for 270/232, 650/127 is 10/29464.