Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/23,12/38,649/77
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 10,12,649
Greatest Common Factor of Numerators i.e. GCF of 10,12,649 is 1 .
LCM of Denominators means LCM of 23,38,77 as per the given fractions.
LCM of 23,38,77 is 67298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,12,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 10,12,649 . The biggest common factor number is the GCF number.
So the greatest common factor 10,12,649 is 1.
Lets's calculate LCM of 23,38,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 67298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67298
Therefore, the GCF of Fractions 10/23,12/38,649/77 is 1/67298
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 23,38,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,38,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,38,77) x common factors =1 x 1 = 1
LCM(23,38,77) = ( 23 × 38 × 77 ) / 1
LCM(23,38,77) = 67298 / 1
LCM(23,38,77) = 67298
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 10/23, 12/38, 649/77?
Answer: GCF of Numerators as per given numbers 10/23, 12/38, 649/77 is
GCF of Numerators i.e. for 10,12,649 is 1
LCM of denominators i.e. for 23,38,77 is 67298.
Thus, GCF of Fractions is 1/67298.Finally, GCF of Fractions for 10/23, 12/38, 649/77 is 1/67298.