Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/997,6384/6924
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 255,6384
Greatest Common Factor of Numerators i.e. GCF of 255,6384 is 3 .
LCM of Denominators means LCM of 997,6924 as per the given fractions.
LCM of 997,6924 is 6903228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,6384
3 | 255, 6384 |
85, 2128 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 6384
List of positive integer factors of 6384 that divides 6384 without a remainder.
1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Greatest Common Factor
We found the factors 255,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 255,6384 is 3.
Lets's calculate LCM of 997,6924
Given numbers has no common factors except 1. So, there LCM is their product i.e 6903228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6903228
Therefore, the GCF of Fractions 255/997,6384/6924 is 3/6903228
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 997,6924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6924) x common factors =1 x 1 = 1
LCM(997,6924) = ( 997 × 6924 ) / 1
LCM(997,6924) = 6903228 / 1
LCM(997,6924) = 6903228
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 255/997, 6384/6924?
Answer: GCF of Numerators as per given numbers 255/997, 6384/6924 is
GCF of Numerators i.e. for 255,6384 is 3
LCM of denominators i.e. for 997,6924 is 6903228.
Thus, GCF of Fractions is 3/6903228.Finally, GCF of Fractions for 255/997, 6384/6924 is 3/6903228.