Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/319,7456/842
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 404,7456
Greatest Common Factor of Numerators i.e. GCF of 404,7456 is 4 .
LCM of Denominators means LCM of 319,842 as per the given fractions.
LCM of 319,842 is 268598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 404,7456
2 | 404, 7456 |
2 | 202, 3728 |
101, 1864 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 7456
List of positive integer factors of 7456 that divides 7456 without a remainder.
1,2,4,8,16,32,233,466,932,1864,3728,7456
Greatest Common Factor
We found the factors 404,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 404,7456 is 4.
Lets's calculate LCM of 319,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 268598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/268598
Therefore, the GCF of Fractions 404/319,7456/842 is 4/268598
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 319,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,842) x common factors =1 x 1 = 1
LCM(319,842) = ( 319 × 842 ) / 1
LCM(319,842) = 268598 / 1
LCM(319,842) = 268598
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 404/319, 7456/842?
Answer: GCF of Numerators as per given numbers 404/319, 7456/842 is
GCF of Numerators i.e. for 404,7456 is 4
LCM of denominators i.e. for 319,842 is 268598.
Thus, GCF of Fractions is 4/268598.Finally, GCF of Fractions for 404/319, 7456/842 is 4/268598.