Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1545/75,1129/559
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 1545,1129
Greatest Common Factor of Numerators i.e. GCF of 1545,1129 is 1 .
LCM of Denominators means LCM of 75,559 as per the given fractions.
LCM of 75,559 is 41925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1545,1129
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1545
List of positive integer factors of 1545 that divides 1545 without a remainder.
1,3,5,15,103,309,515,1545
Factors of 1129
List of positive integer factors of 1129 that divides 1129 without a remainder.
1,1129
Greatest Common Factor
We found the factors 1545,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 1545,1129 is 1.
Lets's calculate LCM of 75,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 41925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41925
Therefore, the GCF of Fractions 1545/75,1129/559 is 1/41925
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 75,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,559) x common factors =1 x 1 = 1
LCM(75,559) = ( 75 × 559 ) / 1
LCM(75,559) = 41925 / 1
LCM(75,559) = 41925
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 1545/75, 1129/559?
Answer: GCF of Numerators as per given numbers 1545/75, 1129/559 is
GCF of Numerators i.e. for 1545,1129 is 1
LCM of denominators i.e. for 75,559 is 41925.
Thus, GCF of Fractions is 1/41925.Finally, GCF of Fractions for 1545/75, 1129/559 is 1/41925.