Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5527/887,4514/1530
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 5527,4514
Greatest Common Factor of Numerators i.e. GCF of 5527,4514 is 1 .
LCM of Denominators means LCM of 887,1530 as per the given fractions.
LCM of 887,1530 is 1357110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5527,4514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1,5527
Factors of 4514
List of positive integer factors of 4514 that divides 4514 without a remainder.
1,2,37,61,74,122,2257,4514
Greatest Common Factor
We found the factors 5527,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,4514 is 1.
Lets's calculate LCM of 887,1530
Given numbers has no common factors except 1. So, there LCM is their product i.e 1357110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1357110
Therefore, the GCF of Fractions 5527/887,4514/1530 is 1/1357110
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 887,1530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,1530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,1530) x common factors =1 x 1 = 1
LCM(887,1530) = ( 887 × 1530 ) / 1
LCM(887,1530) = 1357110 / 1
LCM(887,1530) = 1357110
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 5527/887, 4514/1530?
Answer: GCF of Numerators as per given numbers 5527/887, 4514/1530 is
GCF of Numerators i.e. for 5527,4514 is 1
LCM of denominators i.e. for 887,1530 is 1357110.
Thus, GCF of Fractions is 1/1357110.Finally, GCF of Fractions for 5527/887, 4514/1530 is 1/1357110.