Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/685,562/279,475/291
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 536,562,475
Greatest Common Factor of Numerators i.e. GCF of 536,562,475 is 1 .
LCM of Denominators means LCM of 685,279,291 as per the given fractions.
LCM of 685,279,291 is 18538155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,562,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Greatest Common Factor
We found the factors 536,562,475 . The biggest common factor number is the GCF number.
So the greatest common factor 536,562,475 is 1.
Lets's calculate LCM of 685,279,291
3 | 685, 279, 291 |
685, 93, 97 |
∴ So the LCM of the given numbers is 3 x 685 x 93 x 97 = 18538155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18538155
Therefore, the GCF of Fractions 536/685,562/279,475/291 is 1/18538155
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 685,279,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,279,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(685,279,291) x common factors =1 x 3 = 3
LCM(685,279,291) = ( 685 × 279 × 291 ) / 3
LCM(685,279,291) = 55614465 / 3
LCM(685,279,291) = 18538155
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 536/685, 562/279, 475/291?
Answer: GCF of Numerators as per given numbers 536/685, 562/279, 475/291 is
GCF of Numerators i.e. for 536,562,475 is 1
LCM of denominators i.e. for 685,279,291 is 18538155.
Thus, GCF of Fractions is 1/18538155.Finally, GCF of Fractions for 536/685, 562/279, 475/291 is 1/18538155.