Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 323/71,663/45,620/84
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 323,663,620
Greatest Common Factor of Numerators i.e. GCF of 323,663,620 is 1 .
LCM of Denominators means LCM of 71,45,84 as per the given fractions.
LCM of 71,45,84 is 89460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 323,663,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 323,663,620 . The biggest common factor number is the GCF number.
So the greatest common factor 323,663,620 is 1.
Lets's calculate LCM of 71,45,84
3 | 71, 45, 84 |
71, 15, 28 |
∴ So the LCM of the given numbers is 3 x 71 x 15 x 28 = 89460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89460
Therefore, the GCF of Fractions 323/71,663/45,620/84 is 1/89460
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 71,45,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,45,84) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(71,45,84) x common factors =1 x 3 = 3
LCM(71,45,84) = ( 71 × 45 × 84 ) / 3
LCM(71,45,84) = 268380 / 3
LCM(71,45,84) = 89460
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 323/71, 663/45, 620/84?
Answer: GCF of Numerators as per given numbers 323/71, 663/45, 620/84 is
GCF of Numerators i.e. for 323,663,620 is 1
LCM of denominators i.e. for 71,45,84 is 89460.
Thus, GCF of Fractions is 1/89460.Finally, GCF of Fractions for 323/71, 663/45, 620/84 is 1/89460.