Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/655,545/575,803/227
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 947,545,803
Greatest Common Factor of Numerators i.e. GCF of 947,545,803 is 1 .
LCM of Denominators means LCM of 655,575,227 as per the given fractions.
LCM of 655,575,227 is 17098775 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,545,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 947,545,803 . The biggest common factor number is the GCF number.
So the greatest common factor 947,545,803 is 1.
Lets's calculate LCM of 655,575,227
5 | 655, 575, 227 |
131, 115, 227 |
∴ So the LCM of the given numbers is 5 x 131 x 115 x 227 = 17098775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17098775
Therefore, the GCF of Fractions 947/655,545/575,803/227 is 1/17098775
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 655,575,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,575,227) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(655,575,227) x common factors =1 x 5 = 5
LCM(655,575,227) = ( 655 × 575 × 227 ) / 5
LCM(655,575,227) = 85493875 / 5
LCM(655,575,227) = 17098775
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 947/655, 545/575, 803/227?
Answer: GCF of Numerators as per given numbers 947/655, 545/575, 803/227 is
GCF of Numerators i.e. for 947,545,803 is 1
LCM of denominators i.e. for 655,575,227 is 17098775.
Thus, GCF of Fractions is 1/17098775.Finally, GCF of Fractions for 947/655, 545/575, 803/227 is 1/17098775.