Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/565,8793/156
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 366,8793
Greatest Common Factor of Numerators i.e. GCF of 366,8793 is 3 .
LCM of Denominators means LCM of 565,156 as per the given fractions.
LCM of 565,156 is 88140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 366,8793
3 | 366, 8793 |
122, 2931 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 8793
List of positive integer factors of 8793 that divides 8793 without a remainder.
1,3,9,977,2931,8793
Greatest Common Factor
We found the factors 366,8793 . The biggest common factor number is the GCF number.
So the greatest common factor 366,8793 is 3.
Lets's calculate LCM of 565,156
Given numbers has no common factors except 1. So, there LCM is their product i.e 88140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88140
Therefore, the GCF of Fractions 366/565,8793/156 is 3/88140
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 565,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,156) x common factors =1 x 1 = 1
LCM(565,156) = ( 565 × 156 ) / 1
LCM(565,156) = 88140 / 1
LCM(565,156) = 88140
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 366/565, 8793/156?
Answer: GCF of Numerators as per given numbers 366/565, 8793/156 is
GCF of Numerators i.e. for 366,8793 is 3
LCM of denominators i.e. for 565,156 is 88140.
Thus, GCF of Fractions is 3/88140.Finally, GCF of Fractions for 366/565, 8793/156 is 3/88140.