Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7423/351,1585/6135
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 7423,1585
Greatest Common Factor of Numerators i.e. GCF of 7423,1585 is 1 .
LCM of Denominators means LCM of 351,6135 as per the given fractions.
LCM of 351,6135 is 717795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7423,1585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7423
List of positive integer factors of 7423 that divides 7423 without a remainder.
1,13,571,7423
Factors of 1585
List of positive integer factors of 1585 that divides 1585 without a remainder.
1,5,317,1585
Greatest Common Factor
We found the factors 7423,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 7423,1585 is 1.
Lets's calculate LCM of 351,6135
3 | 351, 6135 |
117, 2045 |
∴ So the LCM of the given numbers is 3 x 117 x 2045 = 717795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717795
Therefore, the GCF of Fractions 7423/351,1585/6135 is 1/717795
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 351,6135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,6135) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,6135) x common factors =3 x 1 = 3
LCM(351,6135) = ( 351 × 6135 ) / 3
LCM(351,6135) = 2153385 / 3
LCM(351,6135) = 717795
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 7423/351, 1585/6135?
Answer: GCF of Numerators as per given numbers 7423/351, 1585/6135 is
GCF of Numerators i.e. for 7423,1585 is 1
LCM of denominators i.e. for 351,6135 is 717795.
Thus, GCF of Fractions is 1/717795.Finally, GCF of Fractions for 7423/351, 1585/6135 is 1/717795.