Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1149/45,6647/598
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 1149,6647
Greatest Common Factor of Numerators i.e. GCF of 1149,6647 is 1 .
LCM of Denominators means LCM of 45,598 as per the given fractions.
LCM of 45,598 is 26910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1149,6647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1149
List of positive integer factors of 1149 that divides 1149 without a remainder.
1,3,383,1149
Factors of 6647
List of positive integer factors of 6647 that divides 6647 without a remainder.
1,17,23,289,391,6647
Greatest Common Factor
We found the factors 1149,6647 . The biggest common factor number is the GCF number.
So the greatest common factor 1149,6647 is 1.
Lets's calculate LCM of 45,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 26910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26910
Therefore, the GCF of Fractions 1149/45,6647/598 is 1/26910
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 45,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,598) x common factors =1 x 1 = 1
LCM(45,598) = ( 45 × 598 ) / 1
LCM(45,598) = 26910 / 1
LCM(45,598) = 26910
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 1149/45, 6647/598?
Answer: GCF of Numerators as per given numbers 1149/45, 6647/598 is
GCF of Numerators i.e. for 1149,6647 is 1
LCM of denominators i.e. for 45,598 is 26910.
Thus, GCF of Fractions is 1/26910.Finally, GCF of Fractions for 1149/45, 6647/598 is 1/26910.