Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/23,680/58,823/173
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 884,680,823
Greatest Common Factor of Numerators i.e. GCF of 884,680,823 is 1 .
LCM of Denominators means LCM of 23,58,173 as per the given fractions.
LCM of 23,58,173 is 230782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 884,680,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 884,680,823 . The biggest common factor number is the GCF number.
So the greatest common factor 884,680,823 is 1.
Lets's calculate LCM of 23,58,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 230782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230782
Therefore, the GCF of Fractions 884/23,680/58,823/173 is 1/230782
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 23,58,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,58,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,58,173) x common factors =1 x 1 = 1
LCM(23,58,173) = ( 23 × 58 × 173 ) / 1
LCM(23,58,173) = 230782 / 1
LCM(23,58,173) = 230782
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 884/23, 680/58, 823/173?
Answer: GCF of Numerators as per given numbers 884/23, 680/58, 823/173 is
GCF of Numerators i.e. for 884,680,823 is 1
LCM of denominators i.e. for 23,58,173 is 230782.
Thus, GCF of Fractions is 1/230782.Finally, GCF of Fractions for 884/23, 680/58, 823/173 is 1/230782.