Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/803,892/109,817/351
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 673,892,817
Greatest Common Factor of Numerators i.e. GCF of 673,892,817 is 1 .
LCM of Denominators means LCM of 803,109,351 as per the given fractions.
LCM of 803,109,351 is 30721977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,892,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 673,892,817 . The biggest common factor number is the GCF number.
So the greatest common factor 673,892,817 is 1.
Lets's calculate LCM of 803,109,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 30721977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30721977
Therefore, the GCF of Fractions 673/803,892/109,817/351 is 1/30721977
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 803,109,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,109,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,109,351) x common factors =1 x 1 = 1
LCM(803,109,351) = ( 803 × 109 × 351 ) / 1
LCM(803,109,351) = 30721977 / 1
LCM(803,109,351) = 30721977
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 673/803, 892/109, 817/351?
Answer: GCF of Numerators as per given numbers 673/803, 892/109, 817/351 is
GCF of Numerators i.e. for 673,892,817 is 1
LCM of denominators i.e. for 803,109,351 is 30721977.
Thus, GCF of Fractions is 1/30721977.Finally, GCF of Fractions for 673/803, 892/109, 817/351 is 1/30721977.