Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1445/920,8215/1833
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 1445,8215
Greatest Common Factor of Numerators i.e. GCF of 1445,8215 is 5 .
LCM of Denominators means LCM of 920,1833 as per the given fractions.
LCM of 920,1833 is 1686360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1445,8215
5 | 1445, 8215 |
289, 1643 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1,5,17,85,289,1445
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 1445,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 1445,8215 is 5.
Lets's calculate LCM of 920,1833
Given numbers has no common factors except 1. So, there LCM is their product i.e 1686360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1686360
Therefore, the GCF of Fractions 1445/920,8215/1833 is 5/1686360
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 920,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,1833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(920,1833) x common factors =1 x 1 = 1
LCM(920,1833) = ( 920 × 1833 ) / 1
LCM(920,1833) = 1686360 / 1
LCM(920,1833) = 1686360
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 1445/920, 8215/1833?
Answer: GCF of Numerators as per given numbers 1445/920, 8215/1833 is
GCF of Numerators i.e. for 1445,8215 is 5
LCM of denominators i.e. for 920,1833 is 1686360.
Thus, GCF of Fractions is 5/1686360.Finally, GCF of Fractions for 1445/920, 8215/1833 is 5/1686360.