Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3272/778,6585/2663
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 3272,6585
Greatest Common Factor of Numerators i.e. GCF of 3272,6585 is 1 .
LCM of Denominators means LCM of 778,2663 as per the given fractions.
LCM of 778,2663 is 2071814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3272,6585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3272
List of positive integer factors of 3272 that divides 3272 without a remainder.
1,2,4,8,409,818,1636,3272
Factors of 6585
List of positive integer factors of 6585 that divides 6585 without a remainder.
1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 3272,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 3272,6585 is 1.
Lets's calculate LCM of 778,2663
Given numbers has no common factors except 1. So, there LCM is their product i.e 2071814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2071814
Therefore, the GCF of Fractions 3272/778,6585/2663 is 1/2071814
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 778,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,2663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,2663) x common factors =1 x 1 = 1
LCM(778,2663) = ( 778 × 2663 ) / 1
LCM(778,2663) = 2071814 / 1
LCM(778,2663) = 2071814
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 3272/778, 6585/2663?
Answer: GCF of Numerators as per given numbers 3272/778, 6585/2663 is
GCF of Numerators i.e. for 3272,6585 is 1
LCM of denominators i.e. for 778,2663 is 2071814.
Thus, GCF of Fractions is 1/2071814.Finally, GCF of Fractions for 3272/778, 6585/2663 is 1/2071814.