Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/43,512/34,833/350
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 887,512,833
Greatest Common Factor of Numerators i.e. GCF of 887,512,833 is 1 .
LCM of Denominators means LCM of 43,34,350 as per the given fractions.
LCM of 43,34,350 is 255850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,512,833
∴ 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 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 887,512,833 . The biggest common factor number is the GCF number.
So the greatest common factor 887,512,833 is 1.
Lets's calculate LCM of 43,34,350
2 | 43, 34, 350 |
43, 17, 175 |
∴ So the LCM of the given numbers is 2 x 43 x 17 x 175 = 255850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255850
Therefore, the GCF of Fractions 887/43,512/34,833/350 is 1/255850
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 43,34,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,34,350) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,34,350) x common factors =1 x 2 = 2
LCM(43,34,350) = ( 43 × 34 × 350 ) / 2
LCM(43,34,350) = 511700 / 2
LCM(43,34,350) = 255850
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 887/43, 512/34, 833/350?
Answer: GCF of Numerators as per given numbers 887/43, 512/34, 833/350 is
GCF of Numerators i.e. for 887,512,833 is 1
LCM of denominators i.e. for 43,34,350 is 255850.
Thus, GCF of Fractions is 1/255850.Finally, GCF of Fractions for 887/43, 512/34, 833/350 is 1/255850.