Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/118,1557/141
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 815,1557
Greatest Common Factor of Numerators i.e. GCF of 815,1557 is 1 .
LCM of Denominators means LCM of 118,141 as per the given fractions.
LCM of 118,141 is 16638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,1557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 1557
List of positive integer factors of 1557 that divides 1557 without a remainder.
1,3,9,173,519,1557
Greatest Common Factor
We found the factors 815,1557 . The biggest common factor number is the GCF number.
So the greatest common factor 815,1557 is 1.
Lets's calculate LCM of 118,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 16638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16638
Therefore, the GCF of Fractions 815/118,1557/141 is 1/16638
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 118,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,141) x common factors =1 x 1 = 1
LCM(118,141) = ( 118 × 141 ) / 1
LCM(118,141) = 16638 / 1
LCM(118,141) = 16638
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 815/118, 1557/141?
Answer: GCF of Numerators as per given numbers 815/118, 1557/141 is
GCF of Numerators i.e. for 815,1557 is 1
LCM of denominators i.e. for 118,141 is 16638.
Thus, GCF of Fractions is 1/16638.Finally, GCF of Fractions for 815/118, 1557/141 is 1/16638.