Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3228/232,3589/5668
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 3228,3589
Greatest Common Factor of Numerators i.e. GCF of 3228,3589 is 1 .
LCM of Denominators means LCM of 232,5668 as per the given fractions.
LCM of 232,5668 is 328744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3228,3589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3228
List of positive integer factors of 3228 that divides 3228 without a remainder.
1,2,3,4,6,12,269,538,807,1076,1614,3228
Factors of 3589
List of positive integer factors of 3589 that divides 3589 without a remainder.
1,37,97,3589
Greatest Common Factor
We found the factors 3228,3589 . The biggest common factor number is the GCF number.
So the greatest common factor 3228,3589 is 1.
Lets's calculate LCM of 232,5668
2 | 232, 5668 |
2 | 116, 2834 |
58, 1417 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 1417 = 328744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328744
Therefore, the GCF of Fractions 3228/232,3589/5668 is 1/328744
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 232,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,5668) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,5668) x common factors =4 x 1 = 4
LCM(232,5668) = ( 232 × 5668 ) / 4
LCM(232,5668) = 1314976 / 4
LCM(232,5668) = 328744
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 3228/232, 3589/5668?
Answer: GCF of Numerators as per given numbers 3228/232, 3589/5668 is
GCF of Numerators i.e. for 3228,3589 is 1
LCM of denominators i.e. for 232,5668 is 328744.
Thus, GCF of Fractions is 1/328744.Finally, GCF of Fractions for 3228/232, 3589/5668 is 1/328744.