Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/43,310/9029
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 623,310
Greatest Common Factor of Numerators i.e. GCF of 623,310 is 1 .
LCM of Denominators means LCM of 43,9029 as per the given fractions.
LCM of 43,9029 is 388247 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 623,310 . The biggest common factor number is the GCF number.
So the greatest common factor 623,310 is 1.
Lets's calculate LCM of 43,9029
Given numbers has no common factors except 1. So, there LCM is their product i.e 388247
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388247
Therefore, the GCF of Fractions 623/43,310/9029 is 1/388247
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 43,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,9029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,9029) x common factors =1 x 1 = 1
LCM(43,9029) = ( 43 × 9029 ) / 1
LCM(43,9029) = 388247 / 1
LCM(43,9029) = 388247
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 623/43, 310/9029?
Answer: GCF of Numerators as per given numbers 623/43, 310/9029 is
GCF of Numerators i.e. for 623,310 is 1
LCM of denominators i.e. for 43,9029 is 388247.
Thus, GCF of Fractions is 1/388247.Finally, GCF of Fractions for 623/43, 310/9029 is 1/388247.