Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/657,57/127,725/309
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 14,57,725
Greatest Common Factor of Numerators i.e. GCF of 14,57,725 is 1 .
LCM of Denominators means LCM of 657,127,309 as per the given fractions.
LCM of 657,127,309 is 8594217 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,57,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 14,57,725 . The biggest common factor number is the GCF number.
So the greatest common factor 14,57,725 is 1.
Lets's calculate LCM of 657,127,309
3 | 657, 127, 309 |
219, 127, 103 |
∴ So the LCM of the given numbers is 3 x 219 x 127 x 103 = 8594217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8594217
Therefore, the GCF of Fractions 14/657,57/127,725/309 is 1/8594217
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 657,127,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,127,309) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(657,127,309) x common factors =1 x 3 = 3
LCM(657,127,309) = ( 657 × 127 × 309 ) / 3
LCM(657,127,309) = 25782651 / 3
LCM(657,127,309) = 8594217
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 14/657, 57/127, 725/309?
Answer: GCF of Numerators as per given numbers 14/657, 57/127, 725/309 is
GCF of Numerators i.e. for 14,57,725 is 1
LCM of denominators i.e. for 657,127,309 is 8594217.
Thus, GCF of Fractions is 1/8594217.Finally, GCF of Fractions for 14/657, 57/127, 725/309 is 1/8594217.