Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3204/816,6456/4275
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 3204,6456
Greatest Common Factor of Numerators i.e. GCF of 3204,6456 is 12 .
LCM of Denominators means LCM of 816,4275 as per the given fractions.
LCM of 816,4275 is 1162800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3204,6456
2 | 3204, 6456 |
2 | 1602, 3228 |
3 | 801, 1614 |
267, 538 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3204
List of positive integer factors of 3204 that divides 3204 without a remainder.
1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Factors of 6456
List of positive integer factors of 6456 that divides 6456 without a remainder.
1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456
Greatest Common Factor
We found the factors 3204,6456 . The biggest common factor number is the GCF number.
So the greatest common factor 3204,6456 is 12.
Lets's calculate LCM of 816,4275
3 | 816, 4275 |
272, 1425 |
∴ So the LCM of the given numbers is 3 x 272 x 1425 = 1162800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1162800
Therefore, the GCF of Fractions 3204/816,6456/4275 is 12/1162800
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 816,4275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4275) x common factors =3 x 1 = 3
LCM(816,4275) = ( 816 × 4275 ) / 3
LCM(816,4275) = 3488400 / 3
LCM(816,4275) = 1162800
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 3204/816, 6456/4275?
Answer: GCF of Numerators as per given numbers 3204/816, 6456/4275 is
GCF of Numerators i.e. for 3204,6456 is 12
LCM of denominators i.e. for 816,4275 is 1162800.
Thus, GCF of Fractions is 12/1162800.Finally, GCF of Fractions for 3204/816, 6456/4275 is 12/1162800.