Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5453/67,1188/437
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 5453,1188
Greatest Common Factor of Numerators i.e. GCF of 5453,1188 is 1 .
LCM of Denominators means LCM of 67,437 as per the given fractions.
LCM of 67,437 is 29279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5453,1188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5453
List of positive integer factors of 5453 that divides 5453 without a remainder.
1,7,19,41,133,287,779,5453
Factors of 1188
List of positive integer factors of 1188 that divides 1188 without a remainder.
1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 5453,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 5453,1188 is 1.
Lets's calculate LCM of 67,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 29279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29279
Therefore, the GCF of Fractions 5453/67,1188/437 is 1/29279
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 67,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,437) x common factors =1 x 1 = 1
LCM(67,437) = ( 67 × 437 ) / 1
LCM(67,437) = 29279 / 1
LCM(67,437) = 29279
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 5453/67, 1188/437?
Answer: GCF of Numerators as per given numbers 5453/67, 1188/437 is
GCF of Numerators i.e. for 5453,1188 is 1
LCM of denominators i.e. for 67,437 is 29279.
Thus, GCF of Fractions is 1/29279.Finally, GCF of Fractions for 5453/67, 1188/437 is 1/29279.