Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5387/967,6153/928
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 5387,6153
Greatest Common Factor of Numerators i.e. GCF of 5387,6153 is 1 .
LCM of Denominators means LCM of 967,928 as per the given fractions.
LCM of 967,928 is 897376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5387,6153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5387
List of positive integer factors of 5387 that divides 5387 without a remainder.
1,5387
Factors of 6153
List of positive integer factors of 6153 that divides 6153 without a remainder.
1,3,7,21,293,879,2051,6153
Greatest Common Factor
We found the factors 5387,6153 . The biggest common factor number is the GCF number.
So the greatest common factor 5387,6153 is 1.
Lets's calculate LCM of 967,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 897376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897376
Therefore, the GCF of Fractions 5387/967,6153/928 is 1/897376
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 967,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,928) x common factors =1 x 1 = 1
LCM(967,928) = ( 967 × 928 ) / 1
LCM(967,928) = 897376 / 1
LCM(967,928) = 897376
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 5387/967, 6153/928?
Answer: GCF of Numerators as per given numbers 5387/967, 6153/928 is
GCF of Numerators i.e. for 5387,6153 is 1
LCM of denominators i.e. for 967,928 is 897376.
Thus, GCF of Fractions is 1/897376.Finally, GCF of Fractions for 5387/967, 6153/928 is 1/897376.