Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/801,364/117,583/803
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 433,364,583
Greatest Common Factor of Numerators i.e. GCF of 433,364,583 is 1 .
LCM of Denominators means LCM of 801,117,803 as per the given fractions.
LCM of 801,117,803 is 8361639 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 433,364,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 433,364,583 . The biggest common factor number is the GCF number.
So the greatest common factor 433,364,583 is 1.
Lets's calculate LCM of 801,117,803
3 | 801, 117, 803 |
3 | 267, 39, 803 |
89, 13, 803 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 13 x 803 = 8361639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8361639
Therefore, the GCF of Fractions 433/801,364/117,583/803 is 1/8361639
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 801,117,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,117,803) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(801,117,803) x common factors =1 x 9 = 9
LCM(801,117,803) = ( 801 × 117 × 803 ) / 9
LCM(801,117,803) = 75254751 / 9
LCM(801,117,803) = 8361639
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 433/801, 364/117, 583/803?
Answer: GCF of Numerators as per given numbers 433/801, 364/117, 583/803 is
GCF of Numerators i.e. for 433,364,583 is 1
LCM of denominators i.e. for 801,117,803 is 8361639.
Thus, GCF of Fractions is 1/8361639.Finally, GCF of Fractions for 433/801, 364/117, 583/803 is 1/8361639.