Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/15,8414/547
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 257,8414
Greatest Common Factor of Numerators i.e. GCF of 257,8414 is 1 .
LCM of Denominators means LCM of 15,547 as per the given fractions.
LCM of 15,547 is 8205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,8414
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 8414
List of positive integer factors of 8414 that divides 8414 without a remainder.
1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors 257,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 257,8414 is 1.
Lets's calculate LCM of 15,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 8205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8205
Therefore, the GCF of Fractions 257/15,8414/547 is 1/8205
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 15,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,547) x common factors =1 x 1 = 1
LCM(15,547) = ( 15 × 547 ) / 1
LCM(15,547) = 8205 / 1
LCM(15,547) = 8205
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 257/15, 8414/547?
Answer: GCF of Numerators as per given numbers 257/15, 8414/547 is
GCF of Numerators i.e. for 257,8414 is 1
LCM of denominators i.e. for 15,547 is 8205.
Thus, GCF of Fractions is 1/8205.Finally, GCF of Fractions for 257/15, 8414/547 is 1/8205.