Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2007/399,4324/680
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 2007,4324
Greatest Common Factor of Numerators i.e. GCF of 2007,4324 is 1 .
LCM of Denominators means LCM of 399,680 as per the given fractions.
LCM of 399,680 is 271320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2007,4324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Factors of 4324
List of positive integer factors of 4324 that divides 4324 without a remainder.
1,2,4,23,46,47,92,94,188,1081,2162,4324
Greatest Common Factor
We found the factors 2007,4324 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,4324 is 1.
Lets's calculate LCM of 399,680
Given numbers has no common factors except 1. So, there LCM is their product i.e 271320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271320
Therefore, the GCF of Fractions 2007/399,4324/680 is 1/271320
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 399,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,680) x common factors =1 x 1 = 1
LCM(399,680) = ( 399 × 680 ) / 1
LCM(399,680) = 271320 / 1
LCM(399,680) = 271320
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 2007/399, 4324/680?
Answer: GCF of Numerators as per given numbers 2007/399, 4324/680 is
GCF of Numerators i.e. for 2007,4324 is 1
LCM of denominators i.e. for 399,680 is 271320.
Thus, GCF of Fractions is 1/271320.Finally, GCF of Fractions for 2007/399, 4324/680 is 1/271320.