Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7933/236,3119/345
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 7933,3119
Greatest Common Factor of Numerators i.e. GCF of 7933,3119 is 1 .
LCM of Denominators means LCM of 236,345 as per the given fractions.
LCM of 236,345 is 81420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7933,3119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7933
List of positive integer factors of 7933 that divides 7933 without a remainder.
1,7933
Factors of 3119
List of positive integer factors of 3119 that divides 3119 without a remainder.
1,3119
Greatest Common Factor
We found the factors 7933,3119 . The biggest common factor number is the GCF number.
So the greatest common factor 7933,3119 is 1.
Lets's calculate LCM of 236,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 81420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81420
Therefore, the GCF of Fractions 7933/236,3119/345 is 1/81420
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 236,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,345) x common factors =1 x 1 = 1
LCM(236,345) = ( 236 × 345 ) / 1
LCM(236,345) = 81420 / 1
LCM(236,345) = 81420
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 7933/236, 3119/345?
Answer: GCF of Numerators as per given numbers 7933/236, 3119/345 is
GCF of Numerators i.e. for 7933,3119 is 1
LCM of denominators i.e. for 236,345 is 81420.
Thus, GCF of Fractions is 1/81420.Finally, GCF of Fractions for 7933/236, 3119/345 is 1/81420.