Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6784/638,6318/365
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 6784,6318
Greatest Common Factor of Numerators i.e. GCF of 6784,6318 is 2 .
LCM of Denominators means LCM of 638,365 as per the given fractions.
LCM of 638,365 is 232870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6784,6318
2 | 6784, 6318 |
3392, 3159 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6784
List of positive integer factors of 6784 that divides 6784 without a remainder.
1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Greatest Common Factor
We found the factors 6784,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 6784,6318 is 2.
Lets's calculate LCM of 638,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 232870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232870
Therefore, the GCF of Fractions 6784/638,6318/365 is 2/232870
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 638,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,365) x common factors =1 x 1 = 1
LCM(638,365) = ( 638 × 365 ) / 1
LCM(638,365) = 232870 / 1
LCM(638,365) = 232870
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 6784/638, 6318/365?
Answer: GCF of Numerators as per given numbers 6784/638, 6318/365 is
GCF of Numerators i.e. for 6784,6318 is 2
LCM of denominators i.e. for 638,365 is 232870.
Thus, GCF of Fractions is 2/232870.Finally, GCF of Fractions for 6784/638, 6318/365 is 2/232870.