Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7297/444,5398/6574
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 7297,5398
Greatest Common Factor of Numerators i.e. GCF of 7297,5398 is 1 .
LCM of Denominators means LCM of 444,6574 as per the given fractions.
LCM of 444,6574 is 1459428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7297,5398
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7297
List of positive integer factors of 7297 that divides 7297 without a remainder.
1,7297
Factors of 5398
List of positive integer factors of 5398 that divides 5398 without a remainder.
1,2,2699,5398
Greatest Common Factor
We found the factors 7297,5398 . The biggest common factor number is the GCF number.
So the greatest common factor 7297,5398 is 1.
Lets's calculate LCM of 444,6574
2 | 444, 6574 |
222, 3287 |
∴ So the LCM of the given numbers is 2 x 222 x 3287 = 1459428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1459428
Therefore, the GCF of Fractions 7297/444,5398/6574 is 1/1459428
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 444,6574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,6574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(444,6574) x common factors =2 x 1 = 2
LCM(444,6574) = ( 444 × 6574 ) / 2
LCM(444,6574) = 2918856 / 2
LCM(444,6574) = 1459428
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 7297/444, 5398/6574?
Answer: GCF of Numerators as per given numbers 7297/444, 5398/6574 is
GCF of Numerators i.e. for 7297,5398 is 1
LCM of denominators i.e. for 444,6574 is 1459428.
Thus, GCF of Fractions is 1/1459428.Finally, GCF of Fractions for 7297/444, 5398/6574 is 1/1459428.