Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/945,7647/3118
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 83,7647
Greatest Common Factor of Numerators i.e. GCF of 83,7647 is 1 .
LCM of Denominators means LCM of 945,3118 as per the given fractions.
LCM of 945,3118 is 2946510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,7647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 7647
List of positive integer factors of 7647 that divides 7647 without a remainder.
1,3,2549,7647
Greatest Common Factor
We found the factors 83,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 83,7647 is 1.
Lets's calculate LCM of 945,3118
Given numbers has no common factors except 1. So, there LCM is their product i.e 2946510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2946510
Therefore, the GCF of Fractions 83/945,7647/3118 is 1/2946510
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 945,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,3118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,3118) x common factors =1 x 1 = 1
LCM(945,3118) = ( 945 × 3118 ) / 1
LCM(945,3118) = 2946510 / 1
LCM(945,3118) = 2946510
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 83/945, 7647/3118?
Answer: GCF of Numerators as per given numbers 83/945, 7647/3118 is
GCF of Numerators i.e. for 83,7647 is 1
LCM of denominators i.e. for 945,3118 is 2946510.
Thus, GCF of Fractions is 1/2946510.Finally, GCF of Fractions for 83/945, 7647/3118 is 1/2946510.