Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6388/443,4572/6184
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 6388,4572
Greatest Common Factor of Numerators i.e. GCF of 6388,4572 is 4 .
LCM of Denominators means LCM of 443,6184 as per the given fractions.
LCM of 443,6184 is 2739512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6388,4572
2 | 6388, 4572 |
2 | 3194, 2286 |
1597, 1143 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6388
List of positive integer factors of 6388 that divides 6388 without a remainder.
1,2,4,1597,3194,6388
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Greatest Common Factor
We found the factors 6388,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 6388,4572 is 4.
Lets's calculate LCM of 443,6184
Given numbers has no common factors except 1. So, there LCM is their product i.e 2739512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2739512
Therefore, the GCF of Fractions 6388/443,4572/6184 is 4/2739512
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 443,6184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,6184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,6184) x common factors =1 x 1 = 1
LCM(443,6184) = ( 443 × 6184 ) / 1
LCM(443,6184) = 2739512 / 1
LCM(443,6184) = 2739512
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 6388/443, 4572/6184?
Answer: GCF of Numerators as per given numbers 6388/443, 4572/6184 is
GCF of Numerators i.e. for 6388,4572 is 4
LCM of denominators i.e. for 443,6184 is 2739512.
Thus, GCF of Fractions is 4/2739512.Finally, GCF of Fractions for 6388/443, 4572/6184 is 4/2739512.