Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1186/257,5351/979
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 1186,5351
Greatest Common Factor of Numerators i.e. GCF of 1186,5351 is 1 .
LCM of Denominators means LCM of 257,979 as per the given fractions.
LCM of 257,979 is 251603 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1186,5351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1186
List of positive integer factors of 1186 that divides 1186 without a remainder.
1,2,593,1186
Factors of 5351
List of positive integer factors of 5351 that divides 5351 without a remainder.
1,5351
Greatest Common Factor
We found the factors 1186,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 1186,5351 is 1.
Lets's calculate LCM of 257,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 251603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251603
Therefore, the GCF of Fractions 1186/257,5351/979 is 1/251603
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 257,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,979) x common factors =1 x 1 = 1
LCM(257,979) = ( 257 × 979 ) / 1
LCM(257,979) = 251603 / 1
LCM(257,979) = 251603
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 1186/257, 5351/979?
Answer: GCF of Numerators as per given numbers 1186/257, 5351/979 is
GCF of Numerators i.e. for 1186,5351 is 1
LCM of denominators i.e. for 257,979 is 251603.
Thus, GCF of Fractions is 1/251603.Finally, GCF of Fractions for 1186/257, 5351/979 is 1/251603.