Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4354/415,6422/6173
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 4354,6422
Greatest Common Factor of Numerators i.e. GCF of 4354,6422 is 2 .
LCM of Denominators means LCM of 415,6173 as per the given fractions.
LCM of 415,6173 is 2561795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4354,6422
2 | 4354, 6422 |
2177, 3211 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4354
List of positive integer factors of 4354 that divides 4354 without a remainder.
1,2,7,14,311,622,2177,4354
Factors of 6422
List of positive integer factors of 6422 that divides 6422 without a remainder.
1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 4354,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 4354,6422 is 2.
Lets's calculate LCM of 415,6173
Given numbers has no common factors except 1. So, there LCM is their product i.e 2561795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2561795
Therefore, the GCF of Fractions 4354/415,6422/6173 is 2/2561795
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 415,6173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6173) x common factors =1 x 1 = 1
LCM(415,6173) = ( 415 × 6173 ) / 1
LCM(415,6173) = 2561795 / 1
LCM(415,6173) = 2561795
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 4354/415, 6422/6173?
Answer: GCF of Numerators as per given numbers 4354/415, 6422/6173 is
GCF of Numerators i.e. for 4354,6422 is 2
LCM of denominators i.e. for 415,6173 is 2561795.
Thus, GCF of Fractions is 2/2561795.Finally, GCF of Fractions for 4354/415, 6422/6173 is 2/2561795.