Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/955,326/648,383/867
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 25,326,383
Greatest Common Factor of Numerators i.e. GCF of 25,326,383 is 1 .
LCM of Denominators means LCM of 955,648,867 as per the given fractions.
LCM of 955,648,867 is 178844760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,326,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Greatest Common Factor
We found the factors 25,326,383 . The biggest common factor number is the GCF number.
So the greatest common factor 25,326,383 is 1.
Lets's calculate LCM of 955,648,867
3 | 955, 648, 867 |
955, 216, 289 |
∴ So the LCM of the given numbers is 3 x 955 x 216 x 289 = 178844760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178844760
Therefore, the GCF of Fractions 25/955,326/648,383/867 is 1/178844760
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 955,648,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,648,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(955,648,867) x common factors =1 x 3 = 3
LCM(955,648,867) = ( 955 × 648 × 867 ) / 3
LCM(955,648,867) = 536534280 / 3
LCM(955,648,867) = 178844760
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 25/955, 326/648, 383/867?
Answer: GCF of Numerators as per given numbers 25/955, 326/648, 383/867 is
GCF of Numerators i.e. for 25,326,383 is 1
LCM of denominators i.e. for 955,648,867 is 178844760.
Thus, GCF of Fractions is 1/178844760.Finally, GCF of Fractions for 25/955, 326/648, 383/867 is 1/178844760.