Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2920/472,5913/7019
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 2920,5913
Greatest Common Factor of Numerators i.e. GCF of 2920,5913 is 73 .
LCM of Denominators means LCM of 472,7019 as per the given fractions.
LCM of 472,7019 is 3312968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2920,5913
73 | 2920, 5913 |
40, 81 |
∴ So the GCF of the given numbers is 73 = 73
Factors of 2920
List of positive integer factors of 2920 that divides 2920 without a remainder.
1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920
Factors of 5913
List of positive integer factors of 5913 that divides 5913 without a remainder.
1,3,9,27,73,81,219,657,1971,5913
Greatest Common Factor
We found the factors 2920,5913 . The biggest common factor number is the GCF number.
So the greatest common factor 2920,5913 is 73.
Lets's calculate LCM of 472,7019
Given numbers has no common factors except 1. So, there LCM is their product i.e 3312968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/3312968
Therefore, the GCF of Fractions 2920/472,5913/7019 is 73/3312968
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 472,7019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,7019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,7019) x common factors =1 x 1 = 1
LCM(472,7019) = ( 472 × 7019 ) / 1
LCM(472,7019) = 3312968 / 1
LCM(472,7019) = 3312968
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 2920/472, 5913/7019?
Answer: GCF of Numerators as per given numbers 2920/472, 5913/7019 is
GCF of Numerators i.e. for 2920,5913 is 73
LCM of denominators i.e. for 472,7019 is 3312968.
Thus, GCF of Fractions is 73/3312968.Finally, GCF of Fractions for 2920/472, 5913/7019 is 73/3312968.