Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4762/191,8503/568
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 4762,8503
Greatest Common Factor of Numerators i.e. GCF of 4762,8503 is 1 .
LCM of Denominators means LCM of 191,568 as per the given fractions.
LCM of 191,568 is 108488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4762,8503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4762
List of positive integer factors of 4762 that divides 4762 without a remainder.
1,2,2381,4762
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1,11,773,8503
Greatest Common Factor
We found the factors 4762,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 4762,8503 is 1.
Lets's calculate LCM of 191,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 108488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108488
Therefore, the GCF of Fractions 4762/191,8503/568 is 1/108488
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 191,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,568) x common factors =1 x 1 = 1
LCM(191,568) = ( 191 × 568 ) / 1
LCM(191,568) = 108488 / 1
LCM(191,568) = 108488
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 4762/191, 8503/568?
Answer: GCF of Numerators as per given numbers 4762/191, 8503/568 is
GCF of Numerators i.e. for 4762,8503 is 1
LCM of denominators i.e. for 191,568 is 108488.
Thus, GCF of Fractions is 1/108488.Finally, GCF of Fractions for 4762/191, 8503/568 is 1/108488.