Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/97,9823/813
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 903,9823
Greatest Common Factor of Numerators i.e. GCF of 903,9823 is 1 .
LCM of Denominators means LCM of 97,813 as per the given fractions.
LCM of 97,813 is 78861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,9823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 9823
List of positive integer factors of 9823 that divides 9823 without a remainder.
1,11,19,47,209,517,893,9823
Greatest Common Factor
We found the factors 903,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 903,9823 is 1.
Lets's calculate LCM of 97,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 78861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78861
Therefore, the GCF of Fractions 903/97,9823/813 is 1/78861
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 97,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,813) x common factors =1 x 1 = 1
LCM(97,813) = ( 97 × 813 ) / 1
LCM(97,813) = 78861 / 1
LCM(97,813) = 78861
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 903/97, 9823/813?
Answer: GCF of Numerators as per given numbers 903/97, 9823/813 is
GCF of Numerators i.e. for 903,9823 is 1
LCM of denominators i.e. for 97,813 is 78861.
Thus, GCF of Fractions is 1/78861.Finally, GCF of Fractions for 903/97, 9823/813 is 1/78861.