Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5454/723,9583/311
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 5454,9583
Greatest Common Factor of Numerators i.e. GCF of 5454,9583 is 1 .
LCM of Denominators means LCM of 723,311 as per the given fractions.
LCM of 723,311 is 224853 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5454,9583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5454
List of positive integer factors of 5454 that divides 5454 without a remainder.
1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1,7,37,259,1369,9583
Greatest Common Factor
We found the factors 5454,9583 . The biggest common factor number is the GCF number.
So the greatest common factor 5454,9583 is 1.
Lets's calculate LCM of 723,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 224853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224853
Therefore, the GCF of Fractions 5454/723,9583/311 is 1/224853
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 723,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,311) x common factors =1 x 1 = 1
LCM(723,311) = ( 723 × 311 ) / 1
LCM(723,311) = 224853 / 1
LCM(723,311) = 224853
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 5454/723, 9583/311?
Answer: GCF of Numerators as per given numbers 5454/723, 9583/311 is
GCF of Numerators i.e. for 5454,9583 is 1
LCM of denominators i.e. for 723,311 is 224853.
Thus, GCF of Fractions is 1/224853.Finally, GCF of Fractions for 5454/723, 9583/311 is 1/224853.