Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/496,4263/881
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 900,4263
Greatest Common Factor of Numerators i.e. GCF of 900,4263 is 3 .
LCM of Denominators means LCM of 496,881 as per the given fractions.
LCM of 496,881 is 436976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,4263
3 | 900, 4263 |
300, 1421 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 4263
List of positive integer factors of 4263 that divides 4263 without a remainder.
1,3,7,21,29,49,87,147,203,609,1421,4263
Greatest Common Factor
We found the factors 900,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 900,4263 is 3.
Lets's calculate LCM of 496,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 436976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/436976
Therefore, the GCF of Fractions 900/496,4263/881 is 3/436976
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 496,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,881) x common factors =1 x 1 = 1
LCM(496,881) = ( 496 × 881 ) / 1
LCM(496,881) = 436976 / 1
LCM(496,881) = 436976
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 900/496, 4263/881?
Answer: GCF of Numerators as per given numbers 900/496, 4263/881 is
GCF of Numerators i.e. for 900,4263 is 3
LCM of denominators i.e. for 496,881 is 436976.
Thus, GCF of Fractions is 3/436976.Finally, GCF of Fractions for 900/496, 4263/881 is 3/436976.