Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9444/533,9871/5512
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 9444,9871
Greatest Common Factor of Numerators i.e. GCF of 9444,9871 is 1 .
LCM of Denominators means LCM of 533,5512 as per the given fractions.
LCM of 533,5512 is 225992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9444,9871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9444
List of positive integer factors of 9444 that divides 9444 without a remainder.
1,2,3,4,6,12,787,1574,2361,3148,4722,9444
Factors of 9871
List of positive integer factors of 9871 that divides 9871 without a remainder.
1,9871
Greatest Common Factor
We found the factors 9444,9871 . The biggest common factor number is the GCF number.
So the greatest common factor 9444,9871 is 1.
Lets's calculate LCM of 533,5512
13 | 533, 5512 |
41, 424 |
∴ So the LCM of the given numbers is 13 x 41 x 424 = 225992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225992
Therefore, the GCF of Fractions 9444/533,9871/5512 is 1/225992
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 533,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,5512) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(533,5512) x common factors =13 x 1 = 13
LCM(533,5512) = ( 533 × 5512 ) / 13
LCM(533,5512) = 2937896 / 13
LCM(533,5512) = 225992
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 9444/533, 9871/5512?
Answer: GCF of Numerators as per given numbers 9444/533, 9871/5512 is
GCF of Numerators i.e. for 9444,9871 is 1
LCM of denominators i.e. for 533,5512 is 225992.
Thus, GCF of Fractions is 1/225992.Finally, GCF of Fractions for 9444/533, 9871/5512 is 1/225992.