Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1739/948,4530/5185
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 1739,4530
Greatest Common Factor of Numerators i.e. GCF of 1739,4530 is 1 .
LCM of Denominators means LCM of 948,5185 as per the given fractions.
LCM of 948,5185 is 4915380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1739,4530
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1739
List of positive integer factors of 1739 that divides 1739 without a remainder.
1,37,47,1739
Factors of 4530
List of positive integer factors of 4530 that divides 4530 without a remainder.
1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Greatest Common Factor
We found the factors 1739,4530 . The biggest common factor number is the GCF number.
So the greatest common factor 1739,4530 is 1.
Lets's calculate LCM of 948,5185
Given numbers has no common factors except 1. So, there LCM is their product i.e 4915380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4915380
Therefore, the GCF of Fractions 1739/948,4530/5185 is 1/4915380
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 948,5185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,5185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,5185) x common factors =1 x 1 = 1
LCM(948,5185) = ( 948 × 5185 ) / 1
LCM(948,5185) = 4915380 / 1
LCM(948,5185) = 4915380
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 1739/948, 4530/5185?
Answer: GCF of Numerators as per given numbers 1739/948, 4530/5185 is
GCF of Numerators i.e. for 1739,4530 is 1
LCM of denominators i.e. for 948,5185 is 4915380.
Thus, GCF of Fractions is 1/4915380.Finally, GCF of Fractions for 1739/948, 4530/5185 is 1/4915380.