Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/13,8240/748
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 168,8240
Greatest Common Factor of Numerators i.e. GCF of 168,8240 is 8 .
LCM of Denominators means LCM of 13,748 as per the given fractions.
LCM of 13,748 is 9724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 168,8240
2 | 168, 8240 |
2 | 84, 4120 |
2 | 42, 2060 |
21, 1030 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 8240
List of positive integer factors of 8240 that divides 8240 without a remainder.
1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240
Greatest Common Factor
We found the factors 168,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 168,8240 is 8.
Lets's calculate LCM of 13,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 9724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9724
Therefore, the GCF of Fractions 168/13,8240/748 is 8/9724
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 13,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,748) x common factors =1 x 1 = 1
LCM(13,748) = ( 13 × 748 ) / 1
LCM(13,748) = 9724 / 1
LCM(13,748) = 9724
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 168/13, 8240/748?
Answer: GCF of Numerators as per given numbers 168/13, 8240/748 is
GCF of Numerators i.e. for 168,8240 is 8
LCM of denominators i.e. for 13,748 is 9724.
Thus, GCF of Fractions is 8/9724.Finally, GCF of Fractions for 168/13, 8240/748 is 8/9724.