Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/721,1747/226
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 901,1747
Greatest Common Factor of Numerators i.e. GCF of 901,1747 is 1 .
LCM of Denominators means LCM of 721,226 as per the given fractions.
LCM of 721,226 is 162946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 901,1747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 1747
List of positive integer factors of 1747 that divides 1747 without a remainder.
1,1747
Greatest Common Factor
We found the factors 901,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 901,1747 is 1.
Lets's calculate LCM of 721,226
Given numbers has no common factors except 1. So, there LCM is their product i.e 162946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162946
Therefore, the GCF of Fractions 901/721,1747/226 is 1/162946
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 721,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,226) x common factors =1 x 1 = 1
LCM(721,226) = ( 721 × 226 ) / 1
LCM(721,226) = 162946 / 1
LCM(721,226) = 162946
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 901/721, 1747/226?
Answer: GCF of Numerators as per given numbers 901/721, 1747/226 is
GCF of Numerators i.e. for 901,1747 is 1
LCM of denominators i.e. for 721,226 is 162946.
Thus, GCF of Fractions is 1/162946.Finally, GCF of Fractions for 901/721, 1747/226 is 1/162946.