Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7599/59,1038/446
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 7599,1038
Greatest Common Factor of Numerators i.e. GCF of 7599,1038 is 3 .
LCM of Denominators means LCM of 59,446 as per the given fractions.
LCM of 59,446 is 26314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7599,1038
3 | 7599, 1038 |
2533, 346 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7599
List of positive integer factors of 7599 that divides 7599 without a remainder.
1,3,17,51,149,447,2533,7599
Factors of 1038
List of positive integer factors of 1038 that divides 1038 without a remainder.
1,2,3,6,173,346,519,1038
Greatest Common Factor
We found the factors 7599,1038 . The biggest common factor number is the GCF number.
So the greatest common factor 7599,1038 is 3.
Lets's calculate LCM of 59,446
Given numbers has no common factors except 1. So, there LCM is their product i.e 26314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26314
Therefore, the GCF of Fractions 7599/59,1038/446 is 3/26314
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 59,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,446) x common factors =1 x 1 = 1
LCM(59,446) = ( 59 × 446 ) / 1
LCM(59,446) = 26314 / 1
LCM(59,446) = 26314
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 7599/59, 1038/446?
Answer: GCF of Numerators as per given numbers 7599/59, 1038/446 is
GCF of Numerators i.e. for 7599,1038 is 3
LCM of denominators i.e. for 59,446 is 26314.
Thus, GCF of Fractions is 3/26314.Finally, GCF of Fractions for 7599/59, 1038/446 is 3/26314.