Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/405,265/447,981/610
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 159,265,981
Greatest Common Factor of Numerators i.e. GCF of 159,265,981 is 1 .
LCM of Denominators means LCM of 405,447,610 as per the given fractions.
LCM of 405,447,610 is 7362090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,265,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 159,265,981 . The biggest common factor number is the GCF number.
So the greatest common factor 159,265,981 is 1.
Lets's calculate LCM of 405,447,610
3 | 405, 447, 610 |
5 | 135, 149, 610 |
27, 149, 122 |
∴ So the LCM of the given numbers is 3 x 5 x 27 x 149 x 122 = 7362090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7362090
Therefore, the GCF of Fractions 159/405,265/447,981/610 is 1/7362090
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 405,447,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,447,610) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(405,447,610) x common factors =1 x 15 = 15
LCM(405,447,610) = ( 405 × 447 × 610 ) / 15
LCM(405,447,610) = 110431350 / 15
LCM(405,447,610) = 7362090
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 159/405, 265/447, 981/610?
Answer: GCF of Numerators as per given numbers 159/405, 265/447, 981/610 is
GCF of Numerators i.e. for 159,265,981 is 1
LCM of denominators i.e. for 405,447,610 is 7362090.
Thus, GCF of Fractions is 1/7362090.Finally, GCF of Fractions for 159/405, 265/447, 981/610 is 1/7362090.