Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7832/158,1505/239
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 7832,1505
Greatest Common Factor of Numerators i.e. GCF of 7832,1505 is 1 .
LCM of Denominators means LCM of 158,239 as per the given fractions.
LCM of 158,239 is 37762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7832,1505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7832
List of positive integer factors of 7832 that divides 7832 without a remainder.
1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Factors of 1505
List of positive integer factors of 1505 that divides 1505 without a remainder.
1,5,7,35,43,215,301,1505
Greatest Common Factor
We found the factors 7832,1505 . The biggest common factor number is the GCF number.
So the greatest common factor 7832,1505 is 1.
Lets's calculate LCM of 158,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 37762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37762
Therefore, the GCF of Fractions 7832/158,1505/239 is 1/37762
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 158,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,239) x common factors =1 x 1 = 1
LCM(158,239) = ( 158 × 239 ) / 1
LCM(158,239) = 37762 / 1
LCM(158,239) = 37762
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 7832/158, 1505/239?
Answer: GCF of Numerators as per given numbers 7832/158, 1505/239 is
GCF of Numerators i.e. for 7832,1505 is 1
LCM of denominators i.e. for 158,239 is 37762.
Thus, GCF of Fractions is 1/37762.Finally, GCF of Fractions for 7832/158, 1505/239 is 1/37762.