Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/4994,876/4093
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 432,876
Greatest Common Factor of Numerators i.e. GCF of 432,876 is 12 .
LCM of Denominators means LCM of 4994,4093 as per the given fractions.
LCM of 4994,4093 is 20440442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 432,876
2 | 432, 876 |
2 | 216, 438 |
3 | 108, 219 |
36, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 432,876 . The biggest common factor number is the GCF number.
So the greatest common factor 432,876 is 12.
Lets's calculate LCM of 4994,4093
Given numbers has no common factors except 1. So, there LCM is their product i.e 20440442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/20440442
Therefore, the GCF of Fractions 432/4994,876/4093 is 12/20440442
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 4994,4093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4994,4093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4994,4093) x common factors =1 x 1 = 1
LCM(4994,4093) = ( 4994 × 4093 ) / 1
LCM(4994,4093) = 20440442 / 1
LCM(4994,4093) = 20440442
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 432/4994, 876/4093?
Answer: GCF of Numerators as per given numbers 432/4994, 876/4093 is
GCF of Numerators i.e. for 432,876 is 12
LCM of denominators i.e. for 4994,4093 is 20440442.
Thus, GCF of Fractions is 12/20440442.Finally, GCF of Fractions for 432/4994, 876/4093 is 12/20440442.