Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/768,159/907,960/466
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 39,159,960
Greatest Common Factor of Numerators i.e. GCF of 39,159,960 is 3 .
LCM of Denominators means LCM of 768,907,466 as per the given fractions.
LCM of 768,907,466 is 162302208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,159,960
3 | 39, 159, 960 |
13, 53, 320 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
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
Greatest Common Factor
We found the factors 39,159,960 . The biggest common factor number is the GCF number.
So the greatest common factor 39,159,960 is 3.
Lets's calculate LCM of 768,907,466
2 | 768, 907, 466 |
384, 907, 233 |
∴ So the LCM of the given numbers is 2 x 384 x 907 x 233 = 162302208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/162302208
Therefore, the GCF of Fractions 39/768,159/907,960/466 is 3/162302208
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 768,907,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,907,466) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(768,907,466) x common factors =1 x 2 = 2
LCM(768,907,466) = ( 768 × 907 × 466 ) / 2
LCM(768,907,466) = 324604416 / 2
LCM(768,907,466) = 162302208
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 39/768, 159/907, 960/466?
Answer: GCF of Numerators as per given numbers 39/768, 159/907, 960/466 is
GCF of Numerators i.e. for 39,159,960 is 3
LCM of denominators i.e. for 768,907,466 is 162302208.
Thus, GCF of Fractions is 3/162302208.Finally, GCF of Fractions for 39/768, 159/907, 960/466 is 3/162302208.