Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/35,960/64,505/66
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 6,960,505
Greatest Common Factor of Numerators i.e. GCF of 6,960,505 is 1 .
LCM of Denominators means LCM of 35,64,66 as per the given fractions.
LCM of 35,64,66 is 73920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,960,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 6,960,505 . The biggest common factor number is the GCF number.
So the greatest common factor 6,960,505 is 1.
Lets's calculate LCM of 35,64,66
2 | 35, 64, 66 |
35, 32, 33 |
∴ So the LCM of the given numbers is 2 x 35 x 32 x 33 = 73920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73920
Therefore, the GCF of Fractions 6/35,960/64,505/66 is 1/73920
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 35,64,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,64,66) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(35,64,66) x common factors =1 x 2 = 2
LCM(35,64,66) = ( 35 × 64 × 66 ) / 2
LCM(35,64,66) = 147840 / 2
LCM(35,64,66) = 73920
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 6/35, 960/64, 505/66?
Answer: GCF of Numerators as per given numbers 6/35, 960/64, 505/66 is
GCF of Numerators i.e. for 6,960,505 is 1
LCM of denominators i.e. for 35,64,66 is 73920.
Thus, GCF of Fractions is 1/73920.Finally, GCF of Fractions for 6/35, 960/64, 505/66 is 1/73920.