Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6355/800,2623/9737
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 6355,2623
Greatest Common Factor of Numerators i.e. GCF of 6355,2623 is 1 .
LCM of Denominators means LCM of 800,9737 as per the given fractions.
LCM of 800,9737 is 7789600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6355,2623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1,5,31,41,155,205,1271,6355
Factors of 2623
List of positive integer factors of 2623 that divides 2623 without a remainder.
1,43,61,2623
Greatest Common Factor
We found the factors 6355,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 6355,2623 is 1.
Lets's calculate LCM of 800,9737
Given numbers has no common factors except 1. So, there LCM is their product i.e 7789600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7789600
Therefore, the GCF of Fractions 6355/800,2623/9737 is 1/7789600
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 800,9737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,9737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(800,9737) x common factors =1 x 1 = 1
LCM(800,9737) = ( 800 × 9737 ) / 1
LCM(800,9737) = 7789600 / 1
LCM(800,9737) = 7789600
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 6355/800, 2623/9737?
Answer: GCF of Numerators as per given numbers 6355/800, 2623/9737 is
GCF of Numerators i.e. for 6355,2623 is 1
LCM of denominators i.e. for 800,9737 is 7789600.
Thus, GCF of Fractions is 1/7789600.Finally, GCF of Fractions for 6355/800, 2623/9737 is 1/7789600.