Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2435/886,1797/5158
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 2435,1797
Greatest Common Factor of Numerators i.e. GCF of 2435,1797 is 1 .
LCM of Denominators means LCM of 886,5158 as per the given fractions.
LCM of 886,5158 is 2284994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2435,1797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2435
List of positive integer factors of 2435 that divides 2435 without a remainder.
1,5,487,2435
Factors of 1797
List of positive integer factors of 1797 that divides 1797 without a remainder.
1,3,599,1797
Greatest Common Factor
We found the factors 2435,1797 . The biggest common factor number is the GCF number.
So the greatest common factor 2435,1797 is 1.
Lets's calculate LCM of 886,5158
2 | 886, 5158 |
443, 2579 |
∴ So the LCM of the given numbers is 2 x 443 x 2579 = 2284994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2284994
Therefore, the GCF of Fractions 2435/886,1797/5158 is 1/2284994
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 886,5158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,5158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,5158) x common factors =2 x 1 = 2
LCM(886,5158) = ( 886 × 5158 ) / 2
LCM(886,5158) = 4569988 / 2
LCM(886,5158) = 2284994
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 2435/886, 1797/5158?
Answer: GCF of Numerators as per given numbers 2435/886, 1797/5158 is
GCF of Numerators i.e. for 2435,1797 is 1
LCM of denominators i.e. for 886,5158 is 2284994.
Thus, GCF of Fractions is 1/2284994.Finally, GCF of Fractions for 2435/886, 1797/5158 is 1/2284994.