Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/41,838/44,951/318
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 920,838,951
Greatest Common Factor of Numerators i.e. GCF of 920,838,951 is 1 .
LCM of Denominators means LCM of 41,44,318 as per the given fractions.
LCM of 41,44,318 is 286836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,838,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 920,838,951 . The biggest common factor number is the GCF number.
So the greatest common factor 920,838,951 is 1.
Lets's calculate LCM of 41,44,318
2 | 41, 44, 318 |
41, 22, 159 |
∴ So the LCM of the given numbers is 2 x 41 x 22 x 159 = 286836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286836
Therefore, the GCF of Fractions 920/41,838/44,951/318 is 1/286836
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 41,44,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,44,318) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(41,44,318) x common factors =1 x 2 = 2
LCM(41,44,318) = ( 41 × 44 × 318 ) / 2
LCM(41,44,318) = 573672 / 2
LCM(41,44,318) = 286836
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 920/41, 838/44, 951/318?
Answer: GCF of Numerators as per given numbers 920/41, 838/44, 951/318 is
GCF of Numerators i.e. for 920,838,951 is 1
LCM of denominators i.e. for 41,44,318 is 286836.
Thus, GCF of Fractions is 1/286836.Finally, GCF of Fractions for 920/41, 838/44, 951/318 is 1/286836.