Get help with finding GCF of fractions 506/256, 1155/625 using GCF of Fractions Calculator to know the result 11/160000 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 506/256, 1155/625 is 11/160000.
GCF(506/256, 1155/625) = 11/160000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/256,1155/625
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 506,1155
Greatest Common Factor of Numerators i.e. GCF of 506,1155 is 11 .
LCM of Denominators means LCM of 256,625 as per the given fractions.
LCM of 256,625 is 160000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,1155
|11|| 506, 1155 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
Factors of 1155
List of positive integer factors of 1155 that divides 1155 without a remainder.
Greatest Common Factor
We found the factors 506,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 506,1155 is 11.
Lets's calculate LCM of 256,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 160000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/160000
Therefore, the GCF of Fractions 506/256,1155/625 is 11/160000
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 256,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,625) x common factors =1 x 1 = 1
LCM(256,625) = ( 256 × 625 ) / 1
LCM(256,625) = 160000 / 1
LCM(256,625) = 160000
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 506/256, 1155/625?
Answer: GCF of Numerators as per given numbers 506/256, 1155/625 is
GCF of Numerators i.e. for 506,1155 is 11
LCM of denominators i.e. for 256,625 is 160000.
Thus, GCF of Fractions is 11/160000.Finally, GCF of Fractions for 506/256, 1155/625 is 11/160000.