Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/469,172/278,973/897
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 474,172,973
Greatest Common Factor of Numerators i.e. GCF of 474,172,973 is 1 .
LCM of Denominators means LCM of 469,278,897 as per the given fractions.
LCM of 469,278,897 is 116952654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 474,172,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 474,172,973 . The biggest common factor number is the GCF number.
So the greatest common factor 474,172,973 is 1.
Lets's calculate LCM of 469,278,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 116952654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116952654
Therefore, the GCF of Fractions 474/469,172/278,973/897 is 1/116952654
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 469,278,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,278,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,278,897) x common factors =1 x 1 = 1
LCM(469,278,897) = ( 469 × 278 × 897 ) / 1
LCM(469,278,897) = 116952654 / 1
LCM(469,278,897) = 116952654
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 474/469, 172/278, 973/897?
Answer: GCF of Numerators as per given numbers 474/469, 172/278, 973/897 is
GCF of Numerators i.e. for 474,172,973 is 1
LCM of denominators i.e. for 469,278,897 is 116952654.
Thus, GCF of Fractions is 1/116952654.Finally, GCF of Fractions for 474/469, 172/278, 973/897 is 1/116952654.