Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 979/283,5335/842
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 979,5335
Greatest Common Factor of Numerators i.e. GCF of 979,5335 is 11 .
LCM of Denominators means LCM of 283,842 as per the given fractions.
LCM of 283,842 is 238286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 979,5335
11 | 979, 5335 |
89, 485 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 5335
List of positive integer factors of 5335 that divides 5335 without a remainder.
1,5,11,55,97,485,1067,5335
Greatest Common Factor
We found the factors 979,5335 . The biggest common factor number is the GCF number.
So the greatest common factor 979,5335 is 11.
Lets's calculate LCM of 283,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 238286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/238286
Therefore, the GCF of Fractions 979/283,5335/842 is 11/238286
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 283,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,842) x common factors =1 x 1 = 1
LCM(283,842) = ( 283 × 842 ) / 1
LCM(283,842) = 238286 / 1
LCM(283,842) = 238286
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 979/283, 5335/842?
Answer: GCF of Numerators as per given numbers 979/283, 5335/842 is
GCF of Numerators i.e. for 979,5335 is 11
LCM of denominators i.e. for 283,842 is 238286.
Thus, GCF of Fractions is 11/238286.Finally, GCF of Fractions for 979/283, 5335/842 is 11/238286.