Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/67,51/19,150/969
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 95,51,150
Greatest Common Factor of Numerators i.e. GCF of 95,51,150 is 1 .
LCM of Denominators means LCM of 67,19,969 as per the given fractions.
LCM of 67,19,969 is 64923 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,51,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 95,51,150 . The biggest common factor number is the GCF number.
So the greatest common factor 95,51,150 is 1.
Lets's calculate LCM of 67,19,969
19 | 67, 19, 969 |
67, 1, 51 |
∴ So the LCM of the given numbers is 19 x 67 x 1 x 51 = 64923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64923
Therefore, the GCF of Fractions 95/67,51/19,150/969 is 1/64923
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 67,19,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,19,969) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(67,19,969) x common factors =1 x 19 = 19
LCM(67,19,969) = ( 67 × 19 × 969 ) / 19
LCM(67,19,969) = 1233537 / 19
LCM(67,19,969) = 64923
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 95/67, 51/19, 150/969?
Answer: GCF of Numerators as per given numbers 95/67, 51/19, 150/969 is
GCF of Numerators i.e. for 95,51,150 is 1
LCM of denominators i.e. for 67,19,969 is 64923.
Thus, GCF of Fractions is 1/64923.Finally, GCF of Fractions for 95/67, 51/19, 150/969 is 1/64923.