Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8403/51,7503/475
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 8403,7503
Greatest Common Factor of Numerators i.e. GCF of 8403,7503 is 3 .
LCM of Denominators means LCM of 51,475 as per the given fractions.
LCM of 51,475 is 24225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8403,7503
3 | 8403, 7503 |
2801, 2501 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8403
List of positive integer factors of 8403 that divides 8403 without a remainder.
1,3,2801,8403
Factors of 7503
List of positive integer factors of 7503 that divides 7503 without a remainder.
1,3,41,61,123,183,2501,7503
Greatest Common Factor
We found the factors 8403,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 8403,7503 is 3.
Lets's calculate LCM of 51,475
Given numbers has no common factors except 1. So, there LCM is their product i.e 24225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24225
Therefore, the GCF of Fractions 8403/51,7503/475 is 3/24225
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 51,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,475) x common factors =1 x 1 = 1
LCM(51,475) = ( 51 × 475 ) / 1
LCM(51,475) = 24225 / 1
LCM(51,475) = 24225
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 8403/51, 7503/475?
Answer: GCF of Numerators as per given numbers 8403/51, 7503/475 is
GCF of Numerators i.e. for 8403,7503 is 3
LCM of denominators i.e. for 51,475 is 24225.
Thus, GCF of Fractions is 3/24225.Finally, GCF of Fractions for 8403/51, 7503/475 is 3/24225.