Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 863/58,320/74,892/797
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 863,320,892
Greatest Common Factor of Numerators i.e. GCF of 863,320,892 is 1 .
LCM of Denominators means LCM of 58,74,797 as per the given fractions.
LCM of 58,74,797 is 1710362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 863,320,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 863,320,892 . The biggest common factor number is the GCF number.
So the greatest common factor 863,320,892 is 1.
Lets's calculate LCM of 58,74,797
2 | 58, 74, 797 |
29, 37, 797 |
∴ So the LCM of the given numbers is 2 x 29 x 37 x 797 = 1710362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1710362
Therefore, the GCF of Fractions 863/58,320/74,892/797 is 1/1710362
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 58,74,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,74,797) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,74,797) x common factors =1 x 2 = 2
LCM(58,74,797) = ( 58 × 74 × 797 ) / 2
LCM(58,74,797) = 3420724 / 2
LCM(58,74,797) = 1710362
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 863/58, 320/74, 892/797?
Answer: GCF of Numerators as per given numbers 863/58, 320/74, 892/797 is
GCF of Numerators i.e. for 863,320,892 is 1
LCM of denominators i.e. for 58,74,797 is 1710362.
Thus, GCF of Fractions is 1/1710362.Finally, GCF of Fractions for 863/58, 320/74, 892/797 is 1/1710362.