Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6520/229,3687/2155
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 6520,3687
Greatest Common Factor of Numerators i.e. GCF of 6520,3687 is 1 .
LCM of Denominators means LCM of 229,2155 as per the given fractions.
LCM of 229,2155 is 493495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6520,3687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6520
List of positive integer factors of 6520 that divides 6520 without a remainder.
1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Factors of 3687
List of positive integer factors of 3687 that divides 3687 without a remainder.
1,3,1229,3687
Greatest Common Factor
We found the factors 6520,3687 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,3687 is 1.
Lets's calculate LCM of 229,2155
Given numbers has no common factors except 1. So, there LCM is their product i.e 493495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493495
Therefore, the GCF of Fractions 6520/229,3687/2155 is 1/493495
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 229,2155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,2155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,2155) x common factors =1 x 1 = 1
LCM(229,2155) = ( 229 × 2155 ) / 1
LCM(229,2155) = 493495 / 1
LCM(229,2155) = 493495
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 6520/229, 3687/2155?
Answer: GCF of Numerators as per given numbers 6520/229, 3687/2155 is
GCF of Numerators i.e. for 6520,3687 is 1
LCM of denominators i.e. for 229,2155 is 493495.
Thus, GCF of Fractions is 1/493495.Finally, GCF of Fractions for 6520/229, 3687/2155 is 1/493495.