Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/974,1937/6011
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 27,1937
Greatest Common Factor of Numerators i.e. GCF of 27,1937 is 1 .
LCM of Denominators means LCM of 974,6011 as per the given fractions.
LCM of 974,6011 is 5854714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,1937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 1937
List of positive integer factors of 1937 that divides 1937 without a remainder.
1,13,149,1937
Greatest Common Factor
We found the factors 27,1937 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1937 is 1.
Lets's calculate LCM of 974,6011
Given numbers has no common factors except 1. So, there LCM is their product i.e 5854714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5854714
Therefore, the GCF of Fractions 27/974,1937/6011 is 1/5854714
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 974,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,6011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,6011) x common factors =1 x 1 = 1
LCM(974,6011) = ( 974 × 6011 ) / 1
LCM(974,6011) = 5854714 / 1
LCM(974,6011) = 5854714
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 27/974, 1937/6011?
Answer: GCF of Numerators as per given numbers 27/974, 1937/6011 is
GCF of Numerators i.e. for 27,1937 is 1
LCM of denominators i.e. for 974,6011 is 5854714.
Thus, GCF of Fractions is 1/5854714.Finally, GCF of Fractions for 27/974, 1937/6011 is 1/5854714.