Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/13,328/72,322/21
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 8,328,322
Greatest Common Factor of Numerators i.e. GCF of 8,328,322 is 2 .
LCM of Denominators means LCM of 13,72,21 as per the given fractions.
LCM of 13,72,21 is 6552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,328,322
2 | 8, 328, 322 |
4, 164, 161 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 8,328,322 . The biggest common factor number is the GCF number.
So the greatest common factor 8,328,322 is 2.
Lets's calculate LCM of 13,72,21
3 | 13, 72, 21 |
13, 24, 7 |
∴ So the LCM of the given numbers is 3 x 13 x 24 x 7 = 6552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6552
Therefore, the GCF of Fractions 8/13,328/72,322/21 is 2/6552
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 13,72,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,72,21) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(13,72,21) x common factors =1 x 3 = 3
LCM(13,72,21) = ( 13 × 72 × 21 ) / 3
LCM(13,72,21) = 19656 / 3
LCM(13,72,21) = 6552
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 8/13, 328/72, 322/21?
Answer: GCF of Numerators as per given numbers 8/13, 328/72, 322/21 is
GCF of Numerators i.e. for 8,328,322 is 2
LCM of denominators i.e. for 13,72,21 is 6552.
Thus, GCF of Fractions is 2/6552.Finally, GCF of Fractions for 8/13, 328/72, 322/21 is 2/6552.