Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/253,326/910,525/958
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 435,326,525
Greatest Common Factor of Numerators i.e. GCF of 435,326,525 is 1 .
LCM of Denominators means LCM of 253,910,958 as per the given fractions.
LCM of 253,910,958 is 110280170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,326,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 435,326,525 . The biggest common factor number is the GCF number.
So the greatest common factor 435,326,525 is 1.
Lets's calculate LCM of 253,910,958
2 | 253, 910, 958 |
253, 455, 479 |
∴ So the LCM of the given numbers is 2 x 253 x 455 x 479 = 110280170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110280170
Therefore, the GCF of Fractions 435/253,326/910,525/958 is 1/110280170
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 253,910,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,910,958) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(253,910,958) x common factors =1 x 2 = 2
LCM(253,910,958) = ( 253 × 910 × 958 ) / 2
LCM(253,910,958) = 220560340 / 2
LCM(253,910,958) = 110280170
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 435/253, 326/910, 525/958?
Answer: GCF of Numerators as per given numbers 435/253, 326/910, 525/958 is
GCF of Numerators i.e. for 435,326,525 is 1
LCM of denominators i.e. for 253,910,958 is 110280170.
Thus, GCF of Fractions is 1/110280170.Finally, GCF of Fractions for 435/253, 326/910, 525/958 is 1/110280170.