Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/31,20/67,454/63
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 41,20,454
Greatest Common Factor of Numerators i.e. GCF of 41,20,454 is 1 .
LCM of Denominators means LCM of 31,67,63 as per the given fractions.
LCM of 31,67,63 is 130851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,20,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 41,20,454 . The biggest common factor number is the GCF number.
So the greatest common factor 41,20,454 is 1.
Lets's calculate LCM of 31,67,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 130851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130851
Therefore, the GCF of Fractions 41/31,20/67,454/63 is 1/130851
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 31,67,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,67,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,67,63) x common factors =1 x 1 = 1
LCM(31,67,63) = ( 31 × 67 × 63 ) / 1
LCM(31,67,63) = 130851 / 1
LCM(31,67,63) = 130851
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 41/31, 20/67, 454/63?
Answer: GCF of Numerators as per given numbers 41/31, 20/67, 454/63 is
GCF of Numerators i.e. for 41,20,454 is 1
LCM of denominators i.e. for 31,67,63 is 130851.
Thus, GCF of Fractions is 1/130851.Finally, GCF of Fractions for 41/31, 20/67, 454/63 is 1/130851.