Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1414/275,6151/2786
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 1414,6151
Greatest Common Factor of Numerators i.e. GCF of 1414,6151 is 1 .
LCM of Denominators means LCM of 275,2786 as per the given fractions.
LCM of 275,2786 is 766150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1414,6151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1414
List of positive integer factors of 1414 that divides 1414 without a remainder.
1,2,7,14,101,202,707,1414
Factors of 6151
List of positive integer factors of 6151 that divides 6151 without a remainder.
1,6151
Greatest Common Factor
We found the factors 1414,6151 . The biggest common factor number is the GCF number.
So the greatest common factor 1414,6151 is 1.
Lets's calculate LCM of 275,2786
Given numbers has no common factors except 1. So, there LCM is their product i.e 766150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766150
Therefore, the GCF of Fractions 1414/275,6151/2786 is 1/766150
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 275,2786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,2786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,2786) x common factors =1 x 1 = 1
LCM(275,2786) = ( 275 × 2786 ) / 1
LCM(275,2786) = 766150 / 1
LCM(275,2786) = 766150
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 1414/275, 6151/2786?
Answer: GCF of Numerators as per given numbers 1414/275, 6151/2786 is
GCF of Numerators i.e. for 1414,6151 is 1
LCM of denominators i.e. for 275,2786 is 766150.
Thus, GCF of Fractions is 1/766150.Finally, GCF of Fractions for 1414/275, 6151/2786 is 1/766150.