Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5455/402,4951/2047
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 5455,4951
Greatest Common Factor of Numerators i.e. GCF of 5455,4951 is 1 .
LCM of Denominators means LCM of 402,2047 as per the given fractions.
LCM of 402,2047 is 822894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5455,4951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5455
List of positive integer factors of 5455 that divides 5455 without a remainder.
1,5,1091,5455
Factors of 4951
List of positive integer factors of 4951 that divides 4951 without a remainder.
1,4951
Greatest Common Factor
We found the factors 5455,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,4951 is 1.
Lets's calculate LCM of 402,2047
Given numbers has no common factors except 1. So, there LCM is their product i.e 822894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/822894
Therefore, the GCF of Fractions 5455/402,4951/2047 is 1/822894
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 402,2047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,2047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,2047) x common factors =1 x 1 = 1
LCM(402,2047) = ( 402 × 2047 ) / 1
LCM(402,2047) = 822894 / 1
LCM(402,2047) = 822894
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 5455/402, 4951/2047?
Answer: GCF of Numerators as per given numbers 5455/402, 4951/2047 is
GCF of Numerators i.e. for 5455,4951 is 1
LCM of denominators i.e. for 402,2047 is 822894.
Thus, GCF of Fractions is 1/822894.Finally, GCF of Fractions for 5455/402, 4951/2047 is 1/822894.