Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/409,430/459,903/940
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 997,430,903
Greatest Common Factor of Numerators i.e. GCF of 997,430,903 is 1 .
LCM of Denominators means LCM of 409,459,940 as per the given fractions.
LCM of 409,459,940 is 176467140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,430,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 997,430,903 . The biggest common factor number is the GCF number.
So the greatest common factor 997,430,903 is 1.
Lets's calculate LCM of 409,459,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 176467140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176467140
Therefore, the GCF of Fractions 997/409,430/459,903/940 is 1/176467140
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 409,459,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,459,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,459,940) x common factors =1 x 1 = 1
LCM(409,459,940) = ( 409 × 459 × 940 ) / 1
LCM(409,459,940) = 176467140 / 1
LCM(409,459,940) = 176467140
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 997/409, 430/459, 903/940?
Answer: GCF of Numerators as per given numbers 997/409, 430/459, 903/940 is
GCF of Numerators i.e. for 997,430,903 is 1
LCM of denominators i.e. for 409,459,940 is 176467140.
Thus, GCF of Fractions is 1/176467140.Finally, GCF of Fractions for 997/409, 430/459, 903/940 is 1/176467140.