Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3250/220,6789/6817
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 3250,6789
Greatest Common Factor of Numerators i.e. GCF of 3250,6789 is 1 .
LCM of Denominators means LCM of 220,6817 as per the given fractions.
LCM of 220,6817 is 1499740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3250,6789
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3250
List of positive integer factors of 3250 that divides 3250 without a remainder.
1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Factors of 6789
List of positive integer factors of 6789 that divides 6789 without a remainder.
1,3,31,73,93,219,2263,6789
Greatest Common Factor
We found the factors 3250,6789 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,6789 is 1.
Lets's calculate LCM of 220,6817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1499740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499740
Therefore, the GCF of Fractions 3250/220,6789/6817 is 1/1499740
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 220,6817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,6817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,6817) x common factors =1 x 1 = 1
LCM(220,6817) = ( 220 × 6817 ) / 1
LCM(220,6817) = 1499740 / 1
LCM(220,6817) = 1499740
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 3250/220, 6789/6817?
Answer: GCF of Numerators as per given numbers 3250/220, 6789/6817 is
GCF of Numerators i.e. for 3250,6789 is 1
LCM of denominators i.e. for 220,6817 is 1499740.
Thus, GCF of Fractions is 1/1499740.Finally, GCF of Fractions for 3250/220, 6789/6817 is 1/1499740.