Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/95,893/73,709/844
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 396,893,709
Greatest Common Factor of Numerators i.e. GCF of 396,893,709 is 1 .
LCM of Denominators means LCM of 95,73,844 as per the given fractions.
LCM of 95,73,844 is 5853140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,893,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Greatest Common Factor
We found the factors 396,893,709 . The biggest common factor number is the GCF number.
So the greatest common factor 396,893,709 is 1.
Lets's calculate LCM of 95,73,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 5853140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5853140
Therefore, the GCF of Fractions 396/95,893/73,709/844 is 1/5853140
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 95,73,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,73,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,73,844) x common factors =1 x 1 = 1
LCM(95,73,844) = ( 95 × 73 × 844 ) / 1
LCM(95,73,844) = 5853140 / 1
LCM(95,73,844) = 5853140
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 396/95, 893/73, 709/844?
Answer: GCF of Numerators as per given numbers 396/95, 893/73, 709/844 is
GCF of Numerators i.e. for 396,893,709 is 1
LCM of denominators i.e. for 95,73,844 is 5853140.
Thus, GCF of Fractions is 1/5853140.Finally, GCF of Fractions for 396/95, 893/73, 709/844 is 1/5853140.