Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/168,8616/852
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 488,8616
Greatest Common Factor of Numerators i.e. GCF of 488,8616 is 8 .
LCM of Denominators means LCM of 168,852 as per the given fractions.
LCM of 168,852 is 11928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 488,8616
2 | 488, 8616 |
2 | 244, 4308 |
2 | 122, 2154 |
61, 1077 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 8616
List of positive integer factors of 8616 that divides 8616 without a remainder.
1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Greatest Common Factor
We found the factors 488,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8616 is 8.
Lets's calculate LCM of 168,852
2 | 168, 852 |
2 | 84, 426 |
3 | 42, 213 |
14, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 71 = 11928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/11928
Therefore, the GCF of Fractions 488/168,8616/852 is 8/11928
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 168,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(168,852) x common factors =12 x 1 = 12
LCM(168,852) = ( 168 × 852 ) / 12
LCM(168,852) = 143136 / 12
LCM(168,852) = 11928
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 488/168, 8616/852?
Answer: GCF of Numerators as per given numbers 488/168, 8616/852 is
GCF of Numerators i.e. for 488,8616 is 8
LCM of denominators i.e. for 168,852 is 11928.
Thus, GCF of Fractions is 8/11928.Finally, GCF of Fractions for 488/168, 8616/852 is 8/11928.