Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 363/57,606/16,714/833
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 363,606,714
Greatest Common Factor of Numerators i.e. GCF of 363,606,714 is 3 .
LCM of Denominators means LCM of 57,16,833 as per the given fractions.
LCM of 57,16,833 is 759696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 363,606,714
3 | 363, 606, 714 |
121, 202, 238 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 363,606,714 . The biggest common factor number is the GCF number.
So the greatest common factor 363,606,714 is 3.
Lets's calculate LCM of 57,16,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 759696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/759696
Therefore, the GCF of Fractions 363/57,606/16,714/833 is 3/759696
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 57,16,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,16,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,16,833) x common factors =1 x 1 = 1
LCM(57,16,833) = ( 57 × 16 × 833 ) / 1
LCM(57,16,833) = 759696 / 1
LCM(57,16,833) = 759696
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 363/57, 606/16, 714/833?
Answer: GCF of Numerators as per given numbers 363/57, 606/16, 714/833 is
GCF of Numerators i.e. for 363,606,714 is 3
LCM of denominators i.e. for 57,16,833 is 759696.
Thus, GCF of Fractions is 3/759696.Finally, GCF of Fractions for 363/57, 606/16, 714/833 is 3/759696.