Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3008/715,4030/842
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 3008,4030
Greatest Common Factor of Numerators i.e. GCF of 3008,4030 is 2 .
LCM of Denominators means LCM of 715,842 as per the given fractions.
LCM of 715,842 is 602030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3008,4030
2 | 3008, 4030 |
1504, 2015 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3008
List of positive integer factors of 3008 that divides 3008 without a remainder.
1,2,4,8,16,32,47,64,94,188,376,752,1504,3008
Factors of 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Greatest Common Factor
We found the factors 3008,4030 . The biggest common factor number is the GCF number.
So the greatest common factor 3008,4030 is 2.
Lets's calculate LCM of 715,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 602030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/602030
Therefore, the GCF of Fractions 3008/715,4030/842 is 2/602030
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 715,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,842) x common factors =1 x 1 = 1
LCM(715,842) = ( 715 × 842 ) / 1
LCM(715,842) = 602030 / 1
LCM(715,842) = 602030
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 3008/715, 4030/842?
Answer: GCF of Numerators as per given numbers 3008/715, 4030/842 is
GCF of Numerators i.e. for 3008,4030 is 2
LCM of denominators i.e. for 715,842 is 602030.
Thus, GCF of Fractions is 2/602030.Finally, GCF of Fractions for 3008/715, 4030/842 is 2/602030.