Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3628/96,3564/211
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 3628,3564
Greatest Common Factor of Numerators i.e. GCF of 3628,3564 is 4 .
LCM of Denominators means LCM of 96,211 as per the given fractions.
LCM of 96,211 is 20256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3628,3564
2 | 3628, 3564 |
2 | 1814, 1782 |
907, 891 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3628
List of positive integer factors of 3628 that divides 3628 without a remainder.
1,2,4,907,1814,3628
Factors of 3564
List of positive integer factors of 3564 that divides 3564 without a remainder.
1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Greatest Common Factor
We found the factors 3628,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 3628,3564 is 4.
Lets's calculate LCM of 96,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 20256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20256
Therefore, the GCF of Fractions 3628/96,3564/211 is 4/20256
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 96,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,211) x common factors =1 x 1 = 1
LCM(96,211) = ( 96 × 211 ) / 1
LCM(96,211) = 20256 / 1
LCM(96,211) = 20256
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 3628/96, 3564/211?
Answer: GCF of Numerators as per given numbers 3628/96, 3564/211 is
GCF of Numerators i.e. for 3628,3564 is 4
LCM of denominators i.e. for 96,211 is 20256.
Thus, GCF of Fractions is 4/20256.Finally, GCF of Fractions for 3628/96, 3564/211 is 4/20256.