Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/127,386/299,194/145
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 857,386,194
Greatest Common Factor of Numerators i.e. GCF of 857,386,194 is 1 .
LCM of Denominators means LCM of 127,299,145 as per the given fractions.
LCM of 127,299,145 is 5506085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 857,386,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 857,386,194 . The biggest common factor number is the GCF number.
So the greatest common factor 857,386,194 is 1.
Lets's calculate LCM of 127,299,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 5506085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5506085
Therefore, the GCF of Fractions 857/127,386/299,194/145 is 1/5506085
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 127,299,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,299,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,299,145) x common factors =1 x 1 = 1
LCM(127,299,145) = ( 127 × 299 × 145 ) / 1
LCM(127,299,145) = 5506085 / 1
LCM(127,299,145) = 5506085
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 857/127, 386/299, 194/145?
Answer: GCF of Numerators as per given numbers 857/127, 386/299, 194/145 is
GCF of Numerators i.e. for 857,386,194 is 1
LCM of denominators i.e. for 127,299,145 is 5506085.
Thus, GCF of Fractions is 1/5506085.Finally, GCF of Fractions for 857/127, 386/299, 194/145 is 1/5506085.