Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/95,409/79,337/213
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 372,409,337
Greatest Common Factor of Numerators i.e. GCF of 372,409,337 is 1 .
LCM of Denominators means LCM of 95,79,213 as per the given fractions.
LCM of 95,79,213 is 1598565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,409,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 372,409,337 . The biggest common factor number is the GCF number.
So the greatest common factor 372,409,337 is 1.
Lets's calculate LCM of 95,79,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1598565
Therefore, the GCF of Fractions 372/95,409/79,337/213 is 1/1598565
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 95,79,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,79,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,79,213) x common factors =1 x 1 = 1
LCM(95,79,213) = ( 95 × 79 × 213 ) / 1
LCM(95,79,213) = 1598565 / 1
LCM(95,79,213) = 1598565
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 372/95, 409/79, 337/213?
Answer: GCF of Numerators as per given numbers 372/95, 409/79, 337/213 is
GCF of Numerators i.e. for 372,409,337 is 1
LCM of denominators i.e. for 95,79,213 is 1598565.
Thus, GCF of Fractions is 1/1598565.Finally, GCF of Fractions for 372/95, 409/79, 337/213 is 1/1598565.