Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/203,7907/3106
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 21,7907
Greatest Common Factor of Numerators i.e. GCF of 21,7907 is 1 .
LCM of Denominators means LCM of 203,3106 as per the given fractions.
LCM of 203,3106 is 630518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,7907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 7907
List of positive integer factors of 7907 that divides 7907 without a remainder.
1,7907
Greatest Common Factor
We found the factors 21,7907 . The biggest common factor number is the GCF number.
So the greatest common factor 21,7907 is 1.
Lets's calculate LCM of 203,3106
Given numbers has no common factors except 1. So, there LCM is their product i.e 630518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630518
Therefore, the GCF of Fractions 21/203,7907/3106 is 1/630518
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 203,3106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,3106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,3106) x common factors =1 x 1 = 1
LCM(203,3106) = ( 203 × 3106 ) / 1
LCM(203,3106) = 630518 / 1
LCM(203,3106) = 630518
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 21/203, 7907/3106?
Answer: GCF of Numerators as per given numbers 21/203, 7907/3106 is
GCF of Numerators i.e. for 21,7907 is 1
LCM of denominators i.e. for 203,3106 is 630518.
Thus, GCF of Fractions is 1/630518.Finally, GCF of Fractions for 21/203, 7907/3106 is 1/630518.