Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5282/719,4087/6712
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 5282,4087
Greatest Common Factor of Numerators i.e. GCF of 5282,4087 is 1 .
LCM of Denominators means LCM of 719,6712 as per the given fractions.
LCM of 719,6712 is 4825928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5282,4087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5282
List of positive integer factors of 5282 that divides 5282 without a remainder.
1,2,19,38,139,278,2641,5282
Factors of 4087
List of positive integer factors of 4087 that divides 4087 without a remainder.
1,61,67,4087
Greatest Common Factor
We found the factors 5282,4087 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,4087 is 1.
Lets's calculate LCM of 719,6712
Given numbers has no common factors except 1. So, there LCM is their product i.e 4825928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4825928
Therefore, the GCF of Fractions 5282/719,4087/6712 is 1/4825928
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 719,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,6712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,6712) x common factors =1 x 1 = 1
LCM(719,6712) = ( 719 × 6712 ) / 1
LCM(719,6712) = 4825928 / 1
LCM(719,6712) = 4825928
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 5282/719, 4087/6712?
Answer: GCF of Numerators as per given numbers 5282/719, 4087/6712 is
GCF of Numerators i.e. for 5282,4087 is 1
LCM of denominators i.e. for 719,6712 is 4825928.
Thus, GCF of Fractions is 1/4825928.Finally, GCF of Fractions for 5282/719, 4087/6712 is 1/4825928.