Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/15,1629/884
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 280,1629
Greatest Common Factor of Numerators i.e. GCF of 280,1629 is 1 .
LCM of Denominators means LCM of 15,884 as per the given fractions.
LCM of 15,884 is 13260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,1629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 1629
List of positive integer factors of 1629 that divides 1629 without a remainder.
1,3,9,181,543,1629
Greatest Common Factor
We found the factors 280,1629 . The biggest common factor number is the GCF number.
So the greatest common factor 280,1629 is 1.
Lets's calculate LCM of 15,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 13260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13260
Therefore, the GCF of Fractions 280/15,1629/884 is 1/13260
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 15,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,884) x common factors =1 x 1 = 1
LCM(15,884) = ( 15 × 884 ) / 1
LCM(15,884) = 13260 / 1
LCM(15,884) = 13260
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 280/15, 1629/884?
Answer: GCF of Numerators as per given numbers 280/15, 1629/884 is
GCF of Numerators i.e. for 280,1629 is 1
LCM of denominators i.e. for 15,884 is 13260.
Thus, GCF of Fractions is 1/13260.Finally, GCF of Fractions for 280/15, 1629/884 is 1/13260.