Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/67,38/86,46/38,257/49
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 57,38,46,257
Greatest Common Factor of Numerators i.e. GCF of 57,38,46,257 is 1 .
LCM of Denominators means LCM of 67,86,38,49 as per the given fractions.
LCM of 67,86,38,49 is 5364422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,38,46,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 57,38,46,257 . The biggest common factor number is the GCF number.
So the greatest common factor 57,38,46,257 is 1.
Lets's calculate LCM of 67,86,38,49
2 | 67, 86, 38, 49 |
67, 43, 19, 49 |
∴ So the LCM of the given numbers is 2 x 67 x 43 x 19 x 49 = 5364422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5364422
Therefore, the GCF of Fractions 57/67,38/86,46/38,257/49 is 1/5364422
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 67,86,38,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,86,38,49) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,86,38,49) x common factors =1 x 2 = 2
LCM(67,86,38,49) = ( 67 × 86 × 38 × 49 ) / 2
LCM(67,86,38,49) = 10728844 / 2
LCM(67,86,38,49) = 5364422
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 57/67, 38/86, 46/38, 257/49?
Answer: GCF of Numerators as per given numbers 57/67, 38/86, 46/38, 257/49 is
GCF of Numerators i.e. for 57,38,46,257 is 1
LCM of denominators i.e. for 67,86,38,49 is 5364422.
Thus, GCF of Fractions is 1/5364422.Finally, GCF of Fractions for 57/67, 38/86, 46/38, 257/49 is 1/5364422.