Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/974,5748/353
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 868,5748
Greatest Common Factor of Numerators i.e. GCF of 868,5748 is 4 .
LCM of Denominators means LCM of 974,353 as per the given fractions.
LCM of 974,353 is 343822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 868,5748
2 | 868, 5748 |
2 | 434, 2874 |
217, 1437 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 5748
List of positive integer factors of 5748 that divides 5748 without a remainder.
1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 868,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 868,5748 is 4.
Lets's calculate LCM of 974,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 343822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/343822
Therefore, the GCF of Fractions 868/974,5748/353 is 4/343822
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 974,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,353) x common factors =1 x 1 = 1
LCM(974,353) = ( 974 × 353 ) / 1
LCM(974,353) = 343822 / 1
LCM(974,353) = 343822
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 868/974, 5748/353?
Answer: GCF of Numerators as per given numbers 868/974, 5748/353 is
GCF of Numerators i.e. for 868,5748 is 4
LCM of denominators i.e. for 974,353 is 343822.
Thus, GCF of Fractions is 4/343822.Finally, GCF of Fractions for 868/974, 5748/353 is 4/343822.