Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/63,40/16,78/229
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 26,40,78
Greatest Common Factor of Numerators i.e. GCF of 26,40,78 is 2 .
LCM of Denominators means LCM of 63,16,229 as per the given fractions.
LCM of 63,16,229 is 230832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,40,78
2 | 26, 40, 78 |
13, 20, 39 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 26,40,78 . The biggest common factor number is the GCF number.
So the greatest common factor 26,40,78 is 2.
Lets's calculate LCM of 63,16,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 230832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230832
Therefore, the GCF of Fractions 26/63,40/16,78/229 is 2/230832
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 63,16,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,16,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,16,229) x common factors =1 x 1 = 1
LCM(63,16,229) = ( 63 × 16 × 229 ) / 1
LCM(63,16,229) = 230832 / 1
LCM(63,16,229) = 230832
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 26/63, 40/16, 78/229?
Answer: GCF of Numerators as per given numbers 26/63, 40/16, 78/229 is
GCF of Numerators i.e. for 26,40,78 is 2
LCM of denominators i.e. for 63,16,229 is 230832.
Thus, GCF of Fractions is 2/230832.Finally, GCF of Fractions for 26/63, 40/16, 78/229 is 2/230832.