Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/309,633/823,121/782
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 301,633,121
Greatest Common Factor of Numerators i.e. GCF of 301,633,121 is 1 .
LCM of Denominators means LCM of 309,823,782 as per the given fractions.
LCM of 309,823,782 is 198868074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 301,633,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 301,633,121 . The biggest common factor number is the GCF number.
So the greatest common factor 301,633,121 is 1.
Lets's calculate LCM of 309,823,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 198868074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198868074
Therefore, the GCF of Fractions 301/309,633/823,121/782 is 1/198868074
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 309,823,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,823,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,823,782) x common factors =1 x 1 = 1
LCM(309,823,782) = ( 309 × 823 × 782 ) / 1
LCM(309,823,782) = 198868074 / 1
LCM(309,823,782) = 198868074
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 301/309, 633/823, 121/782?
Answer: GCF of Numerators as per given numbers 301/309, 633/823, 121/782 is
GCF of Numerators i.e. for 301,633,121 is 1
LCM of denominators i.e. for 309,823,782 is 198868074.
Thus, GCF of Fractions is 1/198868074.Finally, GCF of Fractions for 301/309, 633/823, 121/782 is 1/198868074.