Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/203,1622/944
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 955,1622
Greatest Common Factor of Numerators i.e. GCF of 955,1622 is 1 .
LCM of Denominators means LCM of 203,944 as per the given fractions.
LCM of 203,944 is 191632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,1622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 1622
List of positive integer factors of 1622 that divides 1622 without a remainder.
1,2,811,1622
Greatest Common Factor
We found the factors 955,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 955,1622 is 1.
Lets's calculate LCM of 203,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 191632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191632
Therefore, the GCF of Fractions 955/203,1622/944 is 1/191632
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 203,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,944) x common factors =1 x 1 = 1
LCM(203,944) = ( 203 × 944 ) / 1
LCM(203,944) = 191632 / 1
LCM(203,944) = 191632
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 955/203, 1622/944?
Answer: GCF of Numerators as per given numbers 955/203, 1622/944 is
GCF of Numerators i.e. for 955,1622 is 1
LCM of denominators i.e. for 203,944 is 191632.
Thus, GCF of Fractions is 1/191632.Finally, GCF of Fractions for 955/203, 1622/944 is 1/191632.