Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6437/243,2956/359
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 6437,2956
Greatest Common Factor of Numerators i.e. GCF of 6437,2956 is 1 .
LCM of Denominators means LCM of 243,359 as per the given fractions.
LCM of 243,359 is 87237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6437,2956
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6437
List of positive integer factors of 6437 that divides 6437 without a remainder.
1,41,157,6437
Factors of 2956
List of positive integer factors of 2956 that divides 2956 without a remainder.
1,2,4,739,1478,2956
Greatest Common Factor
We found the factors 6437,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 6437,2956 is 1.
Lets's calculate LCM of 243,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 87237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87237
Therefore, the GCF of Fractions 6437/243,2956/359 is 1/87237
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 243,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,359) x common factors =1 x 1 = 1
LCM(243,359) = ( 243 × 359 ) / 1
LCM(243,359) = 87237 / 1
LCM(243,359) = 87237
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 6437/243, 2956/359?
Answer: GCF of Numerators as per given numbers 6437/243, 2956/359 is
GCF of Numerators i.e. for 6437,2956 is 1
LCM of denominators i.e. for 243,359 is 87237.
Thus, GCF of Fractions is 1/87237.Finally, GCF of Fractions for 6437/243, 2956/359 is 1/87237.