Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4399/47,2892/563
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 4399,2892
Greatest Common Factor of Numerators i.e. GCF of 4399,2892 is 1 .
LCM of Denominators means LCM of 47,563 as per the given fractions.
LCM of 47,563 is 26461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4399,2892
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4399
List of positive integer factors of 4399 that divides 4399 without a remainder.
1,53,83,4399
Factors of 2892
List of positive integer factors of 2892 that divides 2892 without a remainder.
1,2,3,4,6,12,241,482,723,964,1446,2892
Greatest Common Factor
We found the factors 4399,2892 . The biggest common factor number is the GCF number.
So the greatest common factor 4399,2892 is 1.
Lets's calculate LCM of 47,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 26461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26461
Therefore, the GCF of Fractions 4399/47,2892/563 is 1/26461
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 47,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,563) x common factors =1 x 1 = 1
LCM(47,563) = ( 47 × 563 ) / 1
LCM(47,563) = 26461 / 1
LCM(47,563) = 26461
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 4399/47, 2892/563?
Answer: GCF of Numerators as per given numbers 4399/47, 2892/563 is
GCF of Numerators i.e. for 4399,2892 is 1
LCM of denominators i.e. for 47,563 is 26461.
Thus, GCF of Fractions is 1/26461.Finally, GCF of Fractions for 4399/47, 2892/563 is 1/26461.