Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/19,95/47,658/356
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 37,95,658
Greatest Common Factor of Numerators i.e. GCF of 37,95,658 is 1 .
LCM of Denominators means LCM of 19,47,356 as per the given fractions.
LCM of 19,47,356 is 317908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,95,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 37,95,658 . The biggest common factor number is the GCF number.
So the greatest common factor 37,95,658 is 1.
Lets's calculate LCM of 19,47,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 317908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317908
Therefore, the GCF of Fractions 37/19,95/47,658/356 is 1/317908
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 19,47,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,47,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,47,356) x common factors =1 x 1 = 1
LCM(19,47,356) = ( 19 × 47 × 356 ) / 1
LCM(19,47,356) = 317908 / 1
LCM(19,47,356) = 317908
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 37/19, 95/47, 658/356?
Answer: GCF of Numerators as per given numbers 37/19, 95/47, 658/356 is
GCF of Numerators i.e. for 37,95,658 is 1
LCM of denominators i.e. for 19,47,356 is 317908.
Thus, GCF of Fractions is 1/317908.Finally, GCF of Fractions for 37/19, 95/47, 658/356 is 1/317908.