Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/722,1638/612
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 903,1638
Greatest Common Factor of Numerators i.e. GCF of 903,1638 is 21 .
LCM of Denominators means LCM of 722,612 as per the given fractions.
LCM of 722,612 is 220932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,1638
3 | 903, 1638 |
7 | 301, 546 |
43, 78 |
∴ So the GCF of the given numbers is 3 x 7 = 21
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 1638
List of positive integer factors of 1638 that divides 1638 without a remainder.
1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Greatest Common Factor
We found the factors 903,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 903,1638 is 21.
Lets's calculate LCM of 722,612
2 | 722, 612 |
361, 306 |
∴ So the LCM of the given numbers is 2 x 361 x 306 = 220932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/220932
Therefore, the GCF of Fractions 903/722,1638/612 is 21/220932
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 722,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,612) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,612) x common factors =2 x 1 = 2
LCM(722,612) = ( 722 × 612 ) / 2
LCM(722,612) = 441864 / 2
LCM(722,612) = 220932
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 903/722, 1638/612?
Answer: GCF of Numerators as per given numbers 903/722, 1638/612 is
GCF of Numerators i.e. for 903,1638 is 21
LCM of denominators i.e. for 722,612 is 220932.
Thus, GCF of Fractions is 21/220932.Finally, GCF of Fractions for 903/722, 1638/612 is 21/220932.