Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/65,992/78,985/956
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 915,992,985
Greatest Common Factor of Numerators i.e. GCF of 915,992,985 is 1 .
LCM of Denominators means LCM of 65,78,956 as per the given fractions.
LCM of 65,78,956 is 186420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,992,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 915,992,985 . The biggest common factor number is the GCF number.
So the greatest common factor 915,992,985 is 1.
Lets's calculate LCM of 65,78,956
2 | 65, 78, 956 |
13 | 65, 39, 478 |
5, 3, 478 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 3 x 478 = 186420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186420
Therefore, the GCF of Fractions 915/65,992/78,985/956 is 1/186420
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 65,78,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,78,956) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(65,78,956) x common factors =1 x 26 = 26
LCM(65,78,956) = ( 65 × 78 × 956 ) / 26
LCM(65,78,956) = 4846920 / 26
LCM(65,78,956) = 186420
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 915/65, 992/78, 985/956?
Answer: GCF of Numerators as per given numbers 915/65, 992/78, 985/956 is
GCF of Numerators i.e. for 915,992,985 is 1
LCM of denominators i.e. for 65,78,956 is 186420.
Thus, GCF of Fractions is 1/186420.Finally, GCF of Fractions for 915/65, 992/78, 985/956 is 1/186420.