Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/541,1747/4029
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 956,1747
Greatest Common Factor of Numerators i.e. GCF of 956,1747 is 1 .
LCM of Denominators means LCM of 541,4029 as per the given fractions.
LCM of 541,4029 is 2179689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 956,1747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 1747
List of positive integer factors of 1747 that divides 1747 without a remainder.
1,1747
Greatest Common Factor
We found the factors 956,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 956,1747 is 1.
Lets's calculate LCM of 541,4029
Given numbers has no common factors except 1. So, there LCM is their product i.e 2179689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2179689
Therefore, the GCF of Fractions 956/541,1747/4029 is 1/2179689
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 541,4029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,4029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,4029) x common factors =1 x 1 = 1
LCM(541,4029) = ( 541 × 4029 ) / 1
LCM(541,4029) = 2179689 / 1
LCM(541,4029) = 2179689
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 956/541, 1747/4029?
Answer: GCF of Numerators as per given numbers 956/541, 1747/4029 is
GCF of Numerators i.e. for 956,1747 is 1
LCM of denominators i.e. for 541,4029 is 2179689.
Thus, GCF of Fractions is 1/2179689.Finally, GCF of Fractions for 956/541, 1747/4029 is 1/2179689.