Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/931,784/417
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 352,784
Greatest Common Factor of Numerators i.e. GCF of 352,784 is 16 .
LCM of Denominators means LCM of 931,417 as per the given fractions.
LCM of 931,417 is 388227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 352,784
2 | 352, 784 |
2 | 176, 392 |
2 | 88, 196 |
2 | 44, 98 |
22, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 352,784 . The biggest common factor number is the GCF number.
So the greatest common factor 352,784 is 16.
Lets's calculate LCM of 931,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 388227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/388227
Therefore, the GCF of Fractions 352/931,784/417 is 16/388227
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 931,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,417) x common factors =1 x 1 = 1
LCM(931,417) = ( 931 × 417 ) / 1
LCM(931,417) = 388227 / 1
LCM(931,417) = 388227
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 352/931, 784/417?
Answer: GCF of Numerators as per given numbers 352/931, 784/417 is
GCF of Numerators i.e. for 352,784 is 16
LCM of denominators i.e. for 931,417 is 388227.
Thus, GCF of Fractions is 16/388227.Finally, GCF of Fractions for 352/931, 784/417 is 16/388227.