Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/202,387/584,458/139
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 93,387,458
Greatest Common Factor of Numerators i.e. GCF of 93,387,458 is 1 .
LCM of Denominators means LCM of 202,584,139 as per the given fractions.
LCM of 202,584,139 is 8198776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,387,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 93,387,458 . The biggest common factor number is the GCF number.
So the greatest common factor 93,387,458 is 1.
Lets's calculate LCM of 202,584,139
2 | 202, 584, 139 |
101, 292, 139 |
∴ So the LCM of the given numbers is 2 x 101 x 292 x 139 = 8198776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8198776
Therefore, the GCF of Fractions 93/202,387/584,458/139 is 1/8198776
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 202,584,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,584,139) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(202,584,139) x common factors =1 x 2 = 2
LCM(202,584,139) = ( 202 × 584 × 139 ) / 2
LCM(202,584,139) = 16397552 / 2
LCM(202,584,139) = 8198776
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 93/202, 387/584, 458/139?
Answer: GCF of Numerators as per given numbers 93/202, 387/584, 458/139 is
GCF of Numerators i.e. for 93,387,458 is 1
LCM of denominators i.e. for 202,584,139 is 8198776.
Thus, GCF of Fractions is 1/8198776.Finally, GCF of Fractions for 93/202, 387/584, 458/139 is 1/8198776.