Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/81,975/547
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 355,975
Greatest Common Factor of Numerators i.e. GCF of 355,975 is 5 .
LCM of Denominators means LCM of 81,547 as per the given fractions.
LCM of 81,547 is 44307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,975
5 | 355, 975 |
71, 195 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 355,975 . The biggest common factor number is the GCF number.
So the greatest common factor 355,975 is 5.
Lets's calculate LCM of 81,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 44307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/44307
Therefore, the GCF of Fractions 355/81,975/547 is 5/44307
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 81,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,547) x common factors =1 x 1 = 1
LCM(81,547) = ( 81 × 547 ) / 1
LCM(81,547) = 44307 / 1
LCM(81,547) = 44307
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 355/81, 975/547?
Answer: GCF of Numerators as per given numbers 355/81, 975/547 is
GCF of Numerators i.e. for 355,975 is 5
LCM of denominators i.e. for 81,547 is 44307.
Thus, GCF of Fractions is 5/44307.Finally, GCF of Fractions for 355/81, 975/547 is 5/44307.