Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1345/36,1205/547
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 1345,1205
Greatest Common Factor of Numerators i.e. GCF of 1345,1205 is 5 .
LCM of Denominators means LCM of 36,547 as per the given fractions.
LCM of 36,547 is 19692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1345,1205
5 | 1345, 1205 |
269, 241 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1345
List of positive integer factors of 1345 that divides 1345 without a remainder.
1,5,269,1345
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Greatest Common Factor
We found the factors 1345,1205 . The biggest common factor number is the GCF number.
So the greatest common factor 1345,1205 is 5.
Lets's calculate LCM of 36,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 19692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/19692
Therefore, the GCF of Fractions 1345/36,1205/547 is 5/19692
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 36,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,547) x common factors =1 x 1 = 1
LCM(36,547) = ( 36 × 547 ) / 1
LCM(36,547) = 19692 / 1
LCM(36,547) = 19692
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 1345/36, 1205/547?
Answer: GCF of Numerators as per given numbers 1345/36, 1205/547 is
GCF of Numerators i.e. for 1345,1205 is 5
LCM of denominators i.e. for 36,547 is 19692.
Thus, GCF of Fractions is 5/19692.Finally, GCF of Fractions for 1345/36, 1205/547 is 5/19692.