Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/721,903/612
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 623,903
Greatest Common Factor of Numerators i.e. GCF of 623,903 is 7 .
LCM of Denominators means LCM of 721,612 as per the given fractions.
LCM of 721,612 is 441252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,903
7 | 623, 903 |
89, 129 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
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 623,903 . The biggest common factor number is the GCF number.
So the greatest common factor 623,903 is 7.
Lets's calculate LCM of 721,612
Given numbers has no common factors except 1. So, there LCM is their product i.e 441252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/441252
Therefore, the GCF of Fractions 623/721,903/612 is 7/441252
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 721,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,612) x common factors =1 x 1 = 1
LCM(721,612) = ( 721 × 612 ) / 1
LCM(721,612) = 441252 / 1
LCM(721,612) = 441252
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 623/721, 903/612?
Answer: GCF of Numerators as per given numbers 623/721, 903/612 is
GCF of Numerators i.e. for 623,903 is 7
LCM of denominators i.e. for 721,612 is 441252.
Thus, GCF of Fractions is 7/441252.Finally, GCF of Fractions for 623/721, 903/612 is 7/441252.