Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/221,3797/318
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 382,3797
Greatest Common Factor of Numerators i.e. GCF of 382,3797 is 1 .
LCM of Denominators means LCM of 221,318 as per the given fractions.
LCM of 221,318 is 70278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,3797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 3797
List of positive integer factors of 3797 that divides 3797 without a remainder.
1,3797
Greatest Common Factor
We found the factors 382,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 382,3797 is 1.
Lets's calculate LCM of 221,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 70278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70278
Therefore, the GCF of Fractions 382/221,3797/318 is 1/70278
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 221,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,318) x common factors =1 x 1 = 1
LCM(221,318) = ( 221 × 318 ) / 1
LCM(221,318) = 70278 / 1
LCM(221,318) = 70278
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 382/221, 3797/318?
Answer: GCF of Numerators as per given numbers 382/221, 3797/318 is
GCF of Numerators i.e. for 382,3797 is 1
LCM of denominators i.e. for 221,318 is 70278.
Thus, GCF of Fractions is 1/70278.Finally, GCF of Fractions for 382/221, 3797/318 is 1/70278.