Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1160/337,3743/5360
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 1160,3743
Greatest Common Factor of Numerators i.e. GCF of 1160,3743 is 1 .
LCM of Denominators means LCM of 337,5360 as per the given fractions.
LCM of 337,5360 is 1806320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1160,3743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1160
List of positive integer factors of 1160 that divides 1160 without a remainder.
1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1,19,197,3743
Greatest Common Factor
We found the factors 1160,3743 . The biggest common factor number is the GCF number.
So the greatest common factor 1160,3743 is 1.
Lets's calculate LCM of 337,5360
Given numbers has no common factors except 1. So, there LCM is their product i.e 1806320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1806320
Therefore, the GCF of Fractions 1160/337,3743/5360 is 1/1806320
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 337,5360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,5360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,5360) x common factors =1 x 1 = 1
LCM(337,5360) = ( 337 × 5360 ) / 1
LCM(337,5360) = 1806320 / 1
LCM(337,5360) = 1806320
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 1160/337, 3743/5360?
Answer: GCF of Numerators as per given numbers 1160/337, 3743/5360 is
GCF of Numerators i.e. for 1160,3743 is 1
LCM of denominators i.e. for 337,5360 is 1806320.
Thus, GCF of Fractions is 1/1806320.Finally, GCF of Fractions for 1160/337, 3743/5360 is 1/1806320.