Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/29,256/27,761/50
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 21,256,761
Greatest Common Factor of Numerators i.e. GCF of 21,256,761 is 1 .
LCM of Denominators means LCM of 29,27,50 as per the given fractions.
LCM of 29,27,50 is 39150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,256,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 21,256,761 . The biggest common factor number is the GCF number.
So the greatest common factor 21,256,761 is 1.
Lets's calculate LCM of 29,27,50
Given numbers has no common factors except 1. So, there LCM is their product i.e 39150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39150
Therefore, the GCF of Fractions 21/29,256/27,761/50 is 1/39150
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 29,27,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,27,50) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,27,50) x common factors =1 x 1 = 1
LCM(29,27,50) = ( 29 × 27 × 50 ) / 1
LCM(29,27,50) = 39150 / 1
LCM(29,27,50) = 39150
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 21/29, 256/27, 761/50?
Answer: GCF of Numerators as per given numbers 21/29, 256/27, 761/50 is
GCF of Numerators i.e. for 21,256,761 is 1
LCM of denominators i.e. for 29,27,50 is 39150.
Thus, GCF of Fractions is 1/39150.Finally, GCF of Fractions for 21/29, 256/27, 761/50 is 1/39150.