Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 991/43,886/49,727/412
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 991,886,727
Greatest Common Factor of Numerators i.e. GCF of 991,886,727 is 1 .
LCM of Denominators means LCM of 43,49,412 as per the given fractions.
LCM of 43,49,412 is 868084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 991,886,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 991,886,727 . The biggest common factor number is the GCF number.
So the greatest common factor 991,886,727 is 1.
Lets's calculate LCM of 43,49,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 868084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/868084
Therefore, the GCF of Fractions 991/43,886/49,727/412 is 1/868084
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 43,49,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,49,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,49,412) x common factors =1 x 1 = 1
LCM(43,49,412) = ( 43 × 49 × 412 ) / 1
LCM(43,49,412) = 868084 / 1
LCM(43,49,412) = 868084
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 991/43, 886/49, 727/412?
Answer: GCF of Numerators as per given numbers 991/43, 886/49, 727/412 is
GCF of Numerators i.e. for 991,886,727 is 1
LCM of denominators i.e. for 43,49,412 is 868084.
Thus, GCF of Fractions is 1/868084.Finally, GCF of Fractions for 991/43, 886/49, 727/412 is 1/868084.