Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/608,568/643,205/626
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 95,568,205
Greatest Common Factor of Numerators i.e. GCF of 95,568,205 is 1 .
LCM of Denominators means LCM of 608,643,626 as per the given fractions.
LCM of 608,643,626 is 122365472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,568,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 95,568,205 . The biggest common factor number is the GCF number.
So the greatest common factor 95,568,205 is 1.
Lets's calculate LCM of 608,643,626
2 | 608, 643, 626 |
304, 643, 313 |
∴ So the LCM of the given numbers is 2 x 304 x 643 x 313 = 122365472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122365472
Therefore, the GCF of Fractions 95/608,568/643,205/626 is 1/122365472
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 608,643,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,643,626) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(608,643,626) x common factors =1 x 2 = 2
LCM(608,643,626) = ( 608 × 643 × 626 ) / 2
LCM(608,643,626) = 244730944 / 2
LCM(608,643,626) = 122365472
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 95/608, 568/643, 205/626?
Answer: GCF of Numerators as per given numbers 95/608, 568/643, 205/626 is
GCF of Numerators i.e. for 95,568,205 is 1
LCM of denominators i.e. for 608,643,626 is 122365472.
Thus, GCF of Fractions is 1/122365472.Finally, GCF of Fractions for 95/608, 568/643, 205/626 is 1/122365472.