Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/68,323/21,856/673
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 887,323,856
Greatest Common Factor of Numerators i.e. GCF of 887,323,856 is 1 .
LCM of Denominators means LCM of 68,21,673 as per the given fractions.
LCM of 68,21,673 is 961044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,323,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 887,323,856 . The biggest common factor number is the GCF number.
So the greatest common factor 887,323,856 is 1.
Lets's calculate LCM of 68,21,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 961044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961044
Therefore, the GCF of Fractions 887/68,323/21,856/673 is 1/961044
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 68,21,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,21,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,21,673) x common factors =1 x 1 = 1
LCM(68,21,673) = ( 68 × 21 × 673 ) / 1
LCM(68,21,673) = 961044 / 1
LCM(68,21,673) = 961044
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 887/68, 323/21, 856/673?
Answer: GCF of Numerators as per given numbers 887/68, 323/21, 856/673 is
GCF of Numerators i.e. for 887,323,856 is 1
LCM of denominators i.e. for 68,21,673 is 961044.
Thus, GCF of Fractions is 1/961044.Finally, GCF of Fractions for 887/68, 323/21, 856/673 is 1/961044.