Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5957/983,1380/7308
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 5957,1380
Greatest Common Factor of Numerators i.e. GCF of 5957,1380 is 23 .
LCM of Denominators means LCM of 983,7308 as per the given fractions.
LCM of 983,7308 is 7183764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5957,1380
23 | 5957, 1380 |
259, 60 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 5957
List of positive integer factors of 5957 that divides 5957 without a remainder.
1,7,23,37,161,259,851,5957
Factors of 1380
List of positive integer factors of 1380 that divides 1380 without a remainder.
1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Greatest Common Factor
We found the factors 5957,1380 . The biggest common factor number is the GCF number.
So the greatest common factor 5957,1380 is 23.
Lets's calculate LCM of 983,7308
Given numbers has no common factors except 1. So, there LCM is their product i.e 7183764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/7183764
Therefore, the GCF of Fractions 5957/983,1380/7308 is 23/7183764
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 983,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,7308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,7308) x common factors =1 x 1 = 1
LCM(983,7308) = ( 983 × 7308 ) / 1
LCM(983,7308) = 7183764 / 1
LCM(983,7308) = 7183764
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 5957/983, 1380/7308?
Answer: GCF of Numerators as per given numbers 5957/983, 1380/7308 is
GCF of Numerators i.e. for 5957,1380 is 23
LCM of denominators i.e. for 983,7308 is 7183764.
Thus, GCF of Fractions is 23/7183764.Finally, GCF of Fractions for 5957/983, 1380/7308 is 23/7183764.