Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/712,205/401,950/114
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 579,205,950
Greatest Common Factor of Numerators i.e. GCF of 579,205,950 is 1 .
LCM of Denominators means LCM of 712,401,114 as per the given fractions.
LCM of 712,401,114 is 16274184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 579,205,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 579,205,950 . The biggest common factor number is the GCF number.
So the greatest common factor 579,205,950 is 1.
Lets's calculate LCM of 712,401,114
2 | 712, 401, 114 |
356, 401, 57 |
∴ So the LCM of the given numbers is 2 x 356 x 401 x 57 = 16274184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16274184
Therefore, the GCF of Fractions 579/712,205/401,950/114 is 1/16274184
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 712,401,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,401,114) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(712,401,114) x common factors =1 x 2 = 2
LCM(712,401,114) = ( 712 × 401 × 114 ) / 2
LCM(712,401,114) = 32548368 / 2
LCM(712,401,114) = 16274184
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 579/712, 205/401, 950/114?
Answer: GCF of Numerators as per given numbers 579/712, 205/401, 950/114 is
GCF of Numerators i.e. for 579,205,950 is 1
LCM of denominators i.e. for 712,401,114 is 16274184.
Thus, GCF of Fractions is 1/16274184.Finally, GCF of Fractions for 579/712, 205/401, 950/114 is 1/16274184.