Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/150,1373/761
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 567,1373
Greatest Common Factor of Numerators i.e. GCF of 567,1373 is 1 .
LCM of Denominators means LCM of 150,761 as per the given fractions.
LCM of 150,761 is 114150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,1373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 1373
List of positive integer factors of 1373 that divides 1373 without a remainder.
1,1373
Greatest Common Factor
We found the factors 567,1373 . The biggest common factor number is the GCF number.
So the greatest common factor 567,1373 is 1.
Lets's calculate LCM of 150,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 114150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114150
Therefore, the GCF of Fractions 567/150,1373/761 is 1/114150
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 150,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,761) x common factors =1 x 1 = 1
LCM(150,761) = ( 150 × 761 ) / 1
LCM(150,761) = 114150 / 1
LCM(150,761) = 114150
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 567/150, 1373/761?
Answer: GCF of Numerators as per given numbers 567/150, 1373/761 is
GCF of Numerators i.e. for 567,1373 is 1
LCM of denominators i.e. for 150,761 is 114150.
Thus, GCF of Fractions is 1/114150.Finally, GCF of Fractions for 567/150, 1373/761 is 1/114150.