Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/388,4228/9002
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 28,4228
Greatest Common Factor of Numerators i.e. GCF of 28,4228 is 28 .
LCM of Denominators means LCM of 388,9002 as per the given fractions.
LCM of 388,9002 is 1746388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,4228
2 | 28, 4228 |
2 | 14, 2114 |
7 | 7, 1057 |
1, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 4228
List of positive integer factors of 4228 that divides 4228 without a remainder.
1,2,4,7,14,28,151,302,604,1057,2114,4228
Greatest Common Factor
We found the factors 28,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4228 is 28.
Lets's calculate LCM of 388,9002
2 | 388, 9002 |
194, 4501 |
∴ So the LCM of the given numbers is 2 x 194 x 4501 = 1746388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1746388
Therefore, the GCF of Fractions 28/388,4228/9002 is 28/1746388
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 388,9002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,9002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,9002) x common factors =2 x 1 = 2
LCM(388,9002) = ( 388 × 9002 ) / 2
LCM(388,9002) = 3492776 / 2
LCM(388,9002) = 1746388
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 28/388, 4228/9002?
Answer: GCF of Numerators as per given numbers 28/388, 4228/9002 is
GCF of Numerators i.e. for 28,4228 is 28
LCM of denominators i.e. for 388,9002 is 1746388.
Thus, GCF of Fractions is 28/1746388.Finally, GCF of Fractions for 28/388, 4228/9002 is 28/1746388.