Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/62,151/27,445/749
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 342,151,445
Greatest Common Factor of Numerators i.e. GCF of 342,151,445 is 1 .
LCM of Denominators means LCM of 62,27,749 as per the given fractions.
LCM of 62,27,749 is 1253826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 342,151,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 342,151,445 . The biggest common factor number is the GCF number.
So the greatest common factor 342,151,445 is 1.
Lets's calculate LCM of 62,27,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1253826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1253826
Therefore, the GCF of Fractions 342/62,151/27,445/749 is 1/1253826
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 62,27,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,27,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,27,749) x common factors =1 x 1 = 1
LCM(62,27,749) = ( 62 × 27 × 749 ) / 1
LCM(62,27,749) = 1253826 / 1
LCM(62,27,749) = 1253826
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 342/62, 151/27, 445/749?
Answer: GCF of Numerators as per given numbers 342/62, 151/27, 445/749 is
GCF of Numerators i.e. for 342,151,445 is 1
LCM of denominators i.e. for 62,27,749 is 1253826.
Thus, GCF of Fractions is 1/1253826.Finally, GCF of Fractions for 342/62, 151/27, 445/749 is 1/1253826.