Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/61,71/13,245/307
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 43,71,245
Greatest Common Factor of Numerators i.e. GCF of 43,71,245 is 1 .
LCM of Denominators means LCM of 61,13,307 as per the given fractions.
LCM of 61,13,307 is 243451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,71,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 43,71,245 . The biggest common factor number is the GCF number.
So the greatest common factor 43,71,245 is 1.
Lets's calculate LCM of 61,13,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 243451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243451
Therefore, the GCF of Fractions 43/61,71/13,245/307 is 1/243451
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 61,13,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,13,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,13,307) x common factors =1 x 1 = 1
LCM(61,13,307) = ( 61 × 13 × 307 ) / 1
LCM(61,13,307) = 243451 / 1
LCM(61,13,307) = 243451
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 43/61, 71/13, 245/307?
Answer: GCF of Numerators as per given numbers 43/61, 71/13, 245/307 is
GCF of Numerators i.e. for 43,71,245 is 1
LCM of denominators i.e. for 61,13,307 is 243451.
Thus, GCF of Fractions is 1/243451.Finally, GCF of Fractions for 43/61, 71/13, 245/307 is 1/243451.