Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1611/672,6394/406
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 1611,6394
Greatest Common Factor of Numerators i.e. GCF of 1611,6394 is 1 .
LCM of Denominators means LCM of 672,406 as per the given fractions.
LCM of 672,406 is 19488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1611,6394
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1611
List of positive integer factors of 1611 that divides 1611 without a remainder.
1,3,9,179,537,1611
Factors of 6394
List of positive integer factors of 6394 that divides 6394 without a remainder.
1,2,23,46,139,278,3197,6394
Greatest Common Factor
We found the factors 1611,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 1611,6394 is 1.
Lets's calculate LCM of 672,406
2 | 672, 406 |
7 | 336, 203 |
48, 29 |
∴ So the LCM of the given numbers is 2 x 7 x 48 x 29 = 19488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19488
Therefore, the GCF of Fractions 1611/672,6394/406 is 1/19488
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 672,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,406) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(672,406) x common factors =14 x 1 = 14
LCM(672,406) = ( 672 × 406 ) / 14
LCM(672,406) = 272832 / 14
LCM(672,406) = 19488
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 1611/672, 6394/406?
Answer: GCF of Numerators as per given numbers 1611/672, 6394/406 is
GCF of Numerators i.e. for 1611,6394 is 1
LCM of denominators i.e. for 672,406 is 19488.
Thus, GCF of Fractions is 1/19488.Finally, GCF of Fractions for 1611/672, 6394/406 is 1/19488.