Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/53,47/58,38/51,64/257
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 68,47,38,64
Greatest Common Factor of Numerators i.e. GCF of 68,47,38,64 is 1 .
LCM of Denominators means LCM of 53,58,51,257 as per the given fractions.
LCM of 53,58,51,257 is 40290918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,47,38,64
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 68,47,38,64 . The biggest common factor number is the GCF number.
So the greatest common factor 68,47,38,64 is 1.
Lets's calculate LCM of 53,58,51,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 40290918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40290918
Therefore, the GCF of Fractions 68/53,47/58,38/51,64/257 is 1/40290918
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 53,58,51,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,58,51,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,58,51,257) x common factors =1 x 1 = 1
LCM(53,58,51,257) = ( 53 × 58 × 51 × 257 ) / 1
LCM(53,58,51,257) = 40290918 / 1
LCM(53,58,51,257) = 40290918
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 68/53, 47/58, 38/51, 64/257?
Answer: GCF of Numerators as per given numbers 68/53, 47/58, 38/51, 64/257 is
GCF of Numerators i.e. for 68,47,38,64 is 1
LCM of denominators i.e. for 53,58,51,257 is 40290918.
Thus, GCF of Fractions is 1/40290918.Finally, GCF of Fractions for 68/53, 47/58, 38/51, 64/257 is 1/40290918.