Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 987/34,864/43,521/596
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 987,864,521
Greatest Common Factor of Numerators i.e. GCF of 987,864,521 is 1 .
LCM of Denominators means LCM of 34,43,596 as per the given fractions.
LCM of 34,43,596 is 435676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 987,864,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 987,864,521 . The biggest common factor number is the GCF number.
So the greatest common factor 987,864,521 is 1.
Lets's calculate LCM of 34,43,596
2 | 34, 43, 596 |
17, 43, 298 |
∴ So the LCM of the given numbers is 2 x 17 x 43 x 298 = 435676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435676
Therefore, the GCF of Fractions 987/34,864/43,521/596 is 1/435676
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 34,43,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,43,596) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,43,596) x common factors =1 x 2 = 2
LCM(34,43,596) = ( 34 × 43 × 596 ) / 2
LCM(34,43,596) = 871352 / 2
LCM(34,43,596) = 435676
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 987/34, 864/43, 521/596?
Answer: GCF of Numerators as per given numbers 987/34, 864/43, 521/596 is
GCF of Numerators i.e. for 987,864,521 is 1
LCM of denominators i.e. for 34,43,596 is 435676.
Thus, GCF of Fractions is 1/435676.Finally, GCF of Fractions for 987/34, 864/43, 521/596 is 1/435676.