Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4734/19,2705/212
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 4734,2705
Greatest Common Factor of Numerators i.e. GCF of 4734,2705 is 1 .
LCM of Denominators means LCM of 19,212 as per the given fractions.
LCM of 19,212 is 4028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4734,2705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1,2,3,6,9,18,263,526,789,1578,2367,4734
Factors of 2705
List of positive integer factors of 2705 that divides 2705 without a remainder.
1,5,541,2705
Greatest Common Factor
We found the factors 4734,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 4734,2705 is 1.
Lets's calculate LCM of 19,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 4028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4028
Therefore, the GCF of Fractions 4734/19,2705/212 is 1/4028
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 19,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,212) x common factors =1 x 1 = 1
LCM(19,212) = ( 19 × 212 ) / 1
LCM(19,212) = 4028 / 1
LCM(19,212) = 4028
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 4734/19, 2705/212?
Answer: GCF of Numerators as per given numbers 4734/19, 2705/212 is
GCF of Numerators i.e. for 4734,2705 is 1
LCM of denominators i.e. for 19,212 is 4028.
Thus, GCF of Fractions is 1/4028.Finally, GCF of Fractions for 4734/19, 2705/212 is 1/4028.