Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/11,224/294
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 210,224
Greatest Common Factor of Numerators i.e. GCF of 210,224 is 14 .
LCM of Denominators means LCM of 11,294 as per the given fractions.
LCM of 11,294 is 3234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,224
2 | 210, 224 |
7 | 105, 112 |
15, 16 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 210,224 . The biggest common factor number is the GCF number.
So the greatest common factor 210,224 is 14.
Lets's calculate LCM of 11,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 3234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3234
Therefore, the GCF of Fractions 210/11,224/294 is 14/3234
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 11,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,294) x common factors =1 x 1 = 1
LCM(11,294) = ( 11 × 294 ) / 1
LCM(11,294) = 3234 / 1
LCM(11,294) = 3234
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 210/11, 224/294?
Answer: GCF of Numerators as per given numbers 210/11, 224/294 is
GCF of Numerators i.e. for 210,224 is 14
LCM of denominators i.e. for 11,294 is 3234.
Thus, GCF of Fractions is 14/3234.Finally, GCF of Fractions for 210/11, 224/294 is 14/3234.