Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 378/14,802/21,575/366
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 378,802,575
Greatest Common Factor of Numerators i.e. GCF of 378,802,575 is 1 .
LCM of Denominators means LCM of 14,21,366 as per the given fractions.
LCM of 14,21,366 is 2562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 378,802,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 378,802,575 . The biggest common factor number is the GCF number.
So the greatest common factor 378,802,575 is 1.
Lets's calculate LCM of 14,21,366
2 | 14, 21, 366 |
3 | 7, 21, 183 |
7 | 7, 7, 61 |
1, 1, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 61 = 2562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2562
Therefore, the GCF of Fractions 378/14,802/21,575/366 is 1/2562
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 14,21,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,21,366) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(14,21,366) x common factors =1 x 42 = 42
LCM(14,21,366) = ( 14 × 21 × 366 ) / 42
LCM(14,21,366) = 107604 / 42
LCM(14,21,366) = 2562
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 378/14, 802/21, 575/366?
Answer: GCF of Numerators as per given numbers 378/14, 802/21, 575/366 is
GCF of Numerators i.e. for 378,802,575 is 1
LCM of denominators i.e. for 14,21,366 is 2562.
Thus, GCF of Fractions is 1/2562.Finally, GCF of Fractions for 378/14, 802/21, 575/366 is 1/2562.