Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 966/70,240/66,175/201
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 966,240,175
Greatest Common Factor of Numerators i.e. GCF of 966,240,175 is 1 .
LCM of Denominators means LCM of 70,66,201 as per the given fractions.
LCM of 70,66,201 is 154770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 966,240,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 966,240,175 . The biggest common factor number is the GCF number.
So the greatest common factor 966,240,175 is 1.
Lets's calculate LCM of 70,66,201
2 | 70, 66, 201 |
3 | 35, 33, 201 |
35, 11, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 11 x 67 = 154770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154770
Therefore, the GCF of Fractions 966/70,240/66,175/201 is 1/154770
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 70,66,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,66,201) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(70,66,201) x common factors =1 x 6 = 6
LCM(70,66,201) = ( 70 × 66 × 201 ) / 6
LCM(70,66,201) = 928620 / 6
LCM(70,66,201) = 154770
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 966/70, 240/66, 175/201?
Answer: GCF of Numerators as per given numbers 966/70, 240/66, 175/201 is
GCF of Numerators i.e. for 966,240,175 is 1
LCM of denominators i.e. for 70,66,201 is 154770.
Thus, GCF of Fractions is 1/154770.Finally, GCF of Fractions for 966/70, 240/66, 175/201 is 1/154770.