Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1046/886,7329/6358
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 1046,7329
Greatest Common Factor of Numerators i.e. GCF of 1046,7329 is 1 .
LCM of Denominators means LCM of 886,6358 as per the given fractions.
LCM of 886,6358 is 2816594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1046,7329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1046
List of positive integer factors of 1046 that divides 1046 without a remainder.
1,2,523,1046
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Greatest Common Factor
We found the factors 1046,7329 . The biggest common factor number is the GCF number.
So the greatest common factor 1046,7329 is 1.
Lets's calculate LCM of 886,6358
2 | 886, 6358 |
443, 3179 |
∴ So the LCM of the given numbers is 2 x 443 x 3179 = 2816594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2816594
Therefore, the GCF of Fractions 1046/886,7329/6358 is 1/2816594
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 886,6358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,6358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,6358) x common factors =2 x 1 = 2
LCM(886,6358) = ( 886 × 6358 ) / 2
LCM(886,6358) = 5633188 / 2
LCM(886,6358) = 2816594
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 1046/886, 7329/6358?
Answer: GCF of Numerators as per given numbers 1046/886, 7329/6358 is
GCF of Numerators i.e. for 1046,7329 is 1
LCM of denominators i.e. for 886,6358 is 2816594.
Thus, GCF of Fractions is 1/2816594.Finally, GCF of Fractions for 1046/886, 7329/6358 is 1/2816594.