Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/24,16/26,11/771,862/899
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 2,16,11,862
Greatest Common Factor of Numerators i.e. GCF of 2,16,11,862 is 1 .
LCM of Denominators means LCM of 24,26,771,899 as per the given fractions.
LCM of 24,26,771,899 is 72085416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,16,11,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 2,16,11,862 . The biggest common factor number is the GCF number.
So the greatest common factor 2,16,11,862 is 1.
Lets's calculate LCM of 24,26,771,899
2 | 24, 26, 771, 899 |
3 | 12, 13, 771, 899 |
4, 13, 257, 899 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 13 x 257 x 899 = 72085416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72085416
Therefore, the GCF of Fractions 2/24,16/26,11/771,862/899 is 1/72085416
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 24,26,771,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,26,771,899) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(24,26,771,899) x common factors =1 x 6 = 6
LCM(24,26,771,899) = ( 24 × 26 × 771 × 899 ) / 6
LCM(24,26,771,899) = 432512496 / 6
LCM(24,26,771,899) = 72085416
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 2/24, 16/26, 11/771, 862/899?
Answer: GCF of Numerators as per given numbers 2/24, 16/26, 11/771, 862/899 is
GCF of Numerators i.e. for 2,16,11,862 is 1
LCM of denominators i.e. for 24,26,771,899 is 72085416.
Thus, GCF of Fractions is 1/72085416.Finally, GCF of Fractions for 2/24, 16/26, 11/771, 862/899 is 1/72085416.