Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3846/679,9877/300
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 3846,9877
Greatest Common Factor of Numerators i.e. GCF of 3846,9877 is 1 .
LCM of Denominators means LCM of 679,300 as per the given fractions.
LCM of 679,300 is 203700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3846,9877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3846
List of positive integer factors of 3846 that divides 3846 without a remainder.
1,2,3,6,641,1282,1923,3846
Factors of 9877
List of positive integer factors of 9877 that divides 9877 without a remainder.
1,7,17,83,119,581,1411,9877
Greatest Common Factor
We found the factors 3846,9877 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,9877 is 1.
Lets's calculate LCM of 679,300
Given numbers has no common factors except 1. So, there LCM is their product i.e 203700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203700
Therefore, the GCF of Fractions 3846/679,9877/300 is 1/203700
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 679,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,300) x common factors =1 x 1 = 1
LCM(679,300) = ( 679 × 300 ) / 1
LCM(679,300) = 203700 / 1
LCM(679,300) = 203700
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 3846/679, 9877/300?
Answer: GCF of Numerators as per given numbers 3846/679, 9877/300 is
GCF of Numerators i.e. for 3846,9877 is 1
LCM of denominators i.e. for 679,300 is 203700.
Thus, GCF of Fractions is 1/203700.Finally, GCF of Fractions for 3846/679, 9877/300 is 1/203700.