Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/32,27/61,74/17,803/13
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 51,27,74,803
Greatest Common Factor of Numerators i.e. GCF of 51,27,74,803 is 1 .
LCM of Denominators means LCM of 32,61,17,13 as per the given fractions.
LCM of 32,61,17,13 is 431392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,27,74,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 51,27,74,803 . The biggest common factor number is the GCF number.
So the greatest common factor 51,27,74,803 is 1.
Lets's calculate LCM of 32,61,17,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 431392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431392
Therefore, the GCF of Fractions 51/32,27/61,74/17,803/13 is 1/431392
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 32,61,17,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,61,17,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,61,17,13) x common factors =1 x 1 = 1
LCM(32,61,17,13) = ( 32 × 61 × 17 × 13 ) / 1
LCM(32,61,17,13) = 431392 / 1
LCM(32,61,17,13) = 431392
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 51/32, 27/61, 74/17, 803/13?
Answer: GCF of Numerators as per given numbers 51/32, 27/61, 74/17, 803/13 is
GCF of Numerators i.e. for 51,27,74,803 is 1
LCM of denominators i.e. for 32,61,17,13 is 431392.
Thus, GCF of Fractions is 1/431392.Finally, GCF of Fractions for 51/32, 27/61, 74/17, 803/13 is 1/431392.