Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6212/169,4467/6515
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 6212,4467
Greatest Common Factor of Numerators i.e. GCF of 6212,4467 is 1 .
LCM of Denominators means LCM of 169,6515 as per the given fractions.
LCM of 169,6515 is 1101035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6212,4467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6212
List of positive integer factors of 6212 that divides 6212 without a remainder.
1,2,4,1553,3106,6212
Factors of 4467
List of positive integer factors of 4467 that divides 4467 without a remainder.
1,3,1489,4467
Greatest Common Factor
We found the factors 6212,4467 . The biggest common factor number is the GCF number.
So the greatest common factor 6212,4467 is 1.
Lets's calculate LCM of 169,6515
Given numbers has no common factors except 1. So, there LCM is their product i.e 1101035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1101035
Therefore, the GCF of Fractions 6212/169,4467/6515 is 1/1101035
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 169,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,6515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,6515) x common factors =1 x 1 = 1
LCM(169,6515) = ( 169 × 6515 ) / 1
LCM(169,6515) = 1101035 / 1
LCM(169,6515) = 1101035
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 6212/169, 4467/6515?
Answer: GCF of Numerators as per given numbers 6212/169, 4467/6515 is
GCF of Numerators i.e. for 6212,4467 is 1
LCM of denominators i.e. for 169,6515 is 1101035.
Thus, GCF of Fractions is 1/1101035.Finally, GCF of Fractions for 6212/169, 4467/6515 is 1/1101035.