Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/690,672/296,521/233
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 288,672,521
Greatest Common Factor of Numerators i.e. GCF of 288,672,521 is 1 .
LCM of Denominators means LCM of 690,296,233 as per the given fractions.
LCM of 690,296,233 is 23793960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 288,672,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 288,672,521 . The biggest common factor number is the GCF number.
So the greatest common factor 288,672,521 is 1.
Lets's calculate LCM of 690,296,233
2 | 690, 296, 233 |
345, 148, 233 |
∴ So the LCM of the given numbers is 2 x 345 x 148 x 233 = 23793960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23793960
Therefore, the GCF of Fractions 288/690,672/296,521/233 is 1/23793960
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 690,296,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,296,233) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(690,296,233) x common factors =1 x 2 = 2
LCM(690,296,233) = ( 690 × 296 × 233 ) / 2
LCM(690,296,233) = 47587920 / 2
LCM(690,296,233) = 23793960
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 288/690, 672/296, 521/233?
Answer: GCF of Numerators as per given numbers 288/690, 672/296, 521/233 is
GCF of Numerators i.e. for 288,672,521 is 1
LCM of denominators i.e. for 690,296,233 is 23793960.
Thus, GCF of Fractions is 1/23793960.Finally, GCF of Fractions for 288/690, 672/296, 521/233 is 1/23793960.