Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/16,5469/373
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 953,5469
Greatest Common Factor of Numerators i.e. GCF of 953,5469 is 1 .
LCM of Denominators means LCM of 16,373 as per the given fractions.
LCM of 16,373 is 5968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 953,5469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 5469
List of positive integer factors of 5469 that divides 5469 without a remainder.
1,3,1823,5469
Greatest Common Factor
We found the factors 953,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 953,5469 is 1.
Lets's calculate LCM of 16,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 5968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5968
Therefore, the GCF of Fractions 953/16,5469/373 is 1/5968
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 16,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,373) x common factors =1 x 1 = 1
LCM(16,373) = ( 16 × 373 ) / 1
LCM(16,373) = 5968 / 1
LCM(16,373) = 5968
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 953/16, 5469/373?
Answer: GCF of Numerators as per given numbers 953/16, 5469/373 is
GCF of Numerators i.e. for 953,5469 is 1
LCM of denominators i.e. for 16,373 is 5968.
Thus, GCF of Fractions is 1/5968.Finally, GCF of Fractions for 953/16, 5469/373 is 1/5968.