Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/647,326/490,539/200
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 578,326,539
Greatest Common Factor of Numerators i.e. GCF of 578,326,539 is 1 .
LCM of Denominators means LCM of 647,490,200 as per the given fractions.
LCM of 647,490,200 is 6340600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,326,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 578,326,539 . The biggest common factor number is the GCF number.
So the greatest common factor 578,326,539 is 1.
Lets's calculate LCM of 647,490,200
2 | 647, 490, 200 |
5 | 647, 245, 100 |
647, 49, 20 |
∴ So the LCM of the given numbers is 2 x 5 x 647 x 49 x 20 = 6340600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6340600
Therefore, the GCF of Fractions 578/647,326/490,539/200 is 1/6340600
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 647,490,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,490,200) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(647,490,200) x common factors =1 x 10 = 10
LCM(647,490,200) = ( 647 × 490 × 200 ) / 10
LCM(647,490,200) = 63406000 / 10
LCM(647,490,200) = 6340600
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 578/647, 326/490, 539/200?
Answer: GCF of Numerators as per given numbers 578/647, 326/490, 539/200 is
GCF of Numerators i.e. for 578,326,539 is 1
LCM of denominators i.e. for 647,490,200 is 6340600.
Thus, GCF of Fractions is 1/6340600.Finally, GCF of Fractions for 578/647, 326/490, 539/200 is 1/6340600.