Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/35,756/6429
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 348,756
Greatest Common Factor of Numerators i.e. GCF of 348,756 is 12 .
LCM of Denominators means LCM of 35,6429 as per the given fractions.
LCM of 35,6429 is 225015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,756
2 | 348, 756 |
2 | 174, 378 |
3 | 87, 189 |
29, 63 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 348,756 . The biggest common factor number is the GCF number.
So the greatest common factor 348,756 is 12.
Lets's calculate LCM of 35,6429
Given numbers has no common factors except 1. So, there LCM is their product i.e 225015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/225015
Therefore, the GCF of Fractions 348/35,756/6429 is 12/225015
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 35,6429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,6429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,6429) x common factors =1 x 1 = 1
LCM(35,6429) = ( 35 × 6429 ) / 1
LCM(35,6429) = 225015 / 1
LCM(35,6429) = 225015
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 348/35, 756/6429?
Answer: GCF of Numerators as per given numbers 348/35, 756/6429 is
GCF of Numerators i.e. for 348,756 is 12
LCM of denominators i.e. for 35,6429 is 225015.
Thus, GCF of Fractions is 12/225015.Finally, GCF of Fractions for 348/35, 756/6429 is 12/225015.