Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6053/551,3517/2713
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 6053,3517
Greatest Common Factor of Numerators i.e. GCF of 6053,3517 is 1 .
LCM of Denominators means LCM of 551,2713 as per the given fractions.
LCM of 551,2713 is 1494863 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6053,3517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6053
List of positive integer factors of 6053 that divides 6053 without a remainder.
1,6053
Factors of 3517
List of positive integer factors of 3517 that divides 3517 without a remainder.
1,3517
Greatest Common Factor
We found the factors 6053,3517 . The biggest common factor number is the GCF number.
So the greatest common factor 6053,3517 is 1.
Lets's calculate LCM of 551,2713
Given numbers has no common factors except 1. So, there LCM is their product i.e 1494863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494863
Therefore, the GCF of Fractions 6053/551,3517/2713 is 1/1494863
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 551,2713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,2713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,2713) x common factors =1 x 1 = 1
LCM(551,2713) = ( 551 × 2713 ) / 1
LCM(551,2713) = 1494863 / 1
LCM(551,2713) = 1494863
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 6053/551, 3517/2713?
Answer: GCF of Numerators as per given numbers 6053/551, 3517/2713 is
GCF of Numerators i.e. for 6053,3517 is 1
LCM of denominators i.e. for 551,2713 is 1494863.
Thus, GCF of Fractions is 1/1494863.Finally, GCF of Fractions for 6053/551, 3517/2713 is 1/1494863.