Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8833/547,6124/2616
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 8833,6124
Greatest Common Factor of Numerators i.e. GCF of 8833,6124 is 1 .
LCM of Denominators means LCM of 547,2616 as per the given fractions.
LCM of 547,2616 is 1430952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8833,6124
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8833
List of positive integer factors of 8833 that divides 8833 without a remainder.
1,11,73,121,803,8833
Factors of 6124
List of positive integer factors of 6124 that divides 6124 without a remainder.
1,2,4,1531,3062,6124
Greatest Common Factor
We found the factors 8833,6124 . The biggest common factor number is the GCF number.
So the greatest common factor 8833,6124 is 1.
Lets's calculate LCM of 547,2616
Given numbers has no common factors except 1. So, there LCM is their product i.e 1430952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1430952
Therefore, the GCF of Fractions 8833/547,6124/2616 is 1/1430952
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 547,2616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,2616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,2616) x common factors =1 x 1 = 1
LCM(547,2616) = ( 547 × 2616 ) / 1
LCM(547,2616) = 1430952 / 1
LCM(547,2616) = 1430952
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 8833/547, 6124/2616?
Answer: GCF of Numerators as per given numbers 8833/547, 6124/2616 is
GCF of Numerators i.e. for 8833,6124 is 1
LCM of denominators i.e. for 547,2616 is 1430952.
Thus, GCF of Fractions is 1/1430952.Finally, GCF of Fractions for 8833/547, 6124/2616 is 1/1430952.