Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 705/518,719/333,673/119
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 705,719,673
Greatest Common Factor of Numerators i.e. GCF of 705,719,673 is 1 .
LCM of Denominators means LCM of 518,333,119 as per the given fractions.
LCM of 518,333,119 is 79254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 705,719,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 705,719,673 . The biggest common factor number is the GCF number.
So the greatest common factor 705,719,673 is 1.
Lets's calculate LCM of 518,333,119
7 | 518, 333, 119 |
37 | 74, 333, 17 |
2, 9, 17 |
∴ So the LCM of the given numbers is 7 x 37 x 2 x 9 x 17 = 79254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79254
Therefore, the GCF of Fractions 705/518,719/333,673/119 is 1/79254
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 518,333,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,333,119) = 1
common factors(in case of two or more numbers have common factors) = 259
GCF(518,333,119) x common factors =1 x 259 = 259
LCM(518,333,119) = ( 518 × 333 × 119 ) / 259
LCM(518,333,119) = 20526786 / 259
LCM(518,333,119) = 79254
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 705/518, 719/333, 673/119?
Answer: GCF of Numerators as per given numbers 705/518, 719/333, 673/119 is
GCF of Numerators i.e. for 705,719,673 is 1
LCM of denominators i.e. for 518,333,119 is 79254.
Thus, GCF of Fractions is 1/79254.Finally, GCF of Fractions for 705/518, 719/333, 673/119 is 1/79254.