Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/61,458/45,266/207
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 733,458,266
Greatest Common Factor of Numerators i.e. GCF of 733,458,266 is 1 .
LCM of Denominators means LCM of 61,45,207 as per the given fractions.
LCM of 61,45,207 is 63135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 733,458,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 733,458,266 . The biggest common factor number is the GCF number.
So the greatest common factor 733,458,266 is 1.
Lets's calculate LCM of 61,45,207
3 | 61, 45, 207 |
3 | 61, 15, 69 |
61, 5, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 5 x 23 = 63135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63135
Therefore, the GCF of Fractions 733/61,458/45,266/207 is 1/63135
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 61,45,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,45,207) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(61,45,207) x common factors =1 x 9 = 9
LCM(61,45,207) = ( 61 × 45 × 207 ) / 9
LCM(61,45,207) = 568215 / 9
LCM(61,45,207) = 63135
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 733/61, 458/45, 266/207?
Answer: GCF of Numerators as per given numbers 733/61, 458/45, 266/207 is
GCF of Numerators i.e. for 733,458,266 is 1
LCM of denominators i.e. for 61,45,207 is 63135.
Thus, GCF of Fractions is 1/63135.Finally, GCF of Fractions for 733/61, 458/45, 266/207 is 1/63135.