Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/79,952/968
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 899,952
Greatest Common Factor of Numerators i.e. GCF of 899,952 is 1 .
LCM of Denominators means LCM of 79,968 as per the given fractions.
LCM of 79,968 is 76472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 899,952 . The biggest common factor number is the GCF number.
So the greatest common factor 899,952 is 1.
Lets's calculate LCM of 79,968
Given numbers has no common factors except 1. So, there LCM is their product i.e 76472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76472
Therefore, the GCF of Fractions 899/79,952/968 is 1/76472
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 79,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,968) x common factors =1 x 1 = 1
LCM(79,968) = ( 79 × 968 ) / 1
LCM(79,968) = 76472 / 1
LCM(79,968) = 76472
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 899/79, 952/968?
Answer: GCF of Numerators as per given numbers 899/79, 952/968 is
GCF of Numerators i.e. for 899,952 is 1
LCM of denominators i.e. for 79,968 is 76472.
Thus, GCF of Fractions is 1/76472.Finally, GCF of Fractions for 899/79, 952/968 is 1/76472.