Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/306,1605/1645
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 69,1605
Greatest Common Factor of Numerators i.e. GCF of 69,1605 is 3 .
LCM of Denominators means LCM of 306,1645 as per the given fractions.
LCM of 306,1645 is 503370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,1605
3 | 69, 1605 |
23, 535 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 1605
List of positive integer factors of 1605 that divides 1605 without a remainder.
1,3,5,15,107,321,535,1605
Greatest Common Factor
We found the factors 69,1605 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1605 is 3.
Lets's calculate LCM of 306,1645
Given numbers has no common factors except 1. So, there LCM is their product i.e 503370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/503370
Therefore, the GCF of Fractions 69/306,1605/1645 is 3/503370
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 306,1645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,1645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,1645) x common factors =1 x 1 = 1
LCM(306,1645) = ( 306 × 1645 ) / 1
LCM(306,1645) = 503370 / 1
LCM(306,1645) = 503370
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 69/306, 1605/1645?
Answer: GCF of Numerators as per given numbers 69/306, 1605/1645 is
GCF of Numerators i.e. for 69,1605 is 3
LCM of denominators i.e. for 306,1645 is 503370.
Thus, GCF of Fractions is 3/503370.Finally, GCF of Fractions for 69/306, 1605/1645 is 3/503370.