Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 205/180,353/979,715/658
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 205,353,715
Greatest Common Factor of Numerators i.e. GCF of 205,353,715 is 1 .
LCM of Denominators means LCM of 180,979,658 as per the given fractions.
LCM of 180,979,658 is 57976380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 205,353,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 205,353,715 . The biggest common factor number is the GCF number.
So the greatest common factor 205,353,715 is 1.
Lets's calculate LCM of 180,979,658
2 | 180, 979, 658 |
90, 979, 329 |
∴ So the LCM of the given numbers is 2 x 90 x 979 x 329 = 57976380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57976380
Therefore, the GCF of Fractions 205/180,353/979,715/658 is 1/57976380
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 180,979,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,979,658) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(180,979,658) x common factors =1 x 2 = 2
LCM(180,979,658) = ( 180 × 979 × 658 ) / 2
LCM(180,979,658) = 115952760 / 2
LCM(180,979,658) = 57976380
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 205/180, 353/979, 715/658?
Answer: GCF of Numerators as per given numbers 205/180, 353/979, 715/658 is
GCF of Numerators i.e. for 205,353,715 is 1
LCM of denominators i.e. for 180,979,658 is 57976380.
Thus, GCF of Fractions is 1/57976380.Finally, GCF of Fractions for 205/180, 353/979, 715/658 is 1/57976380.