Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7165/99,1952/496
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 7165,1952
Greatest Common Factor of Numerators i.e. GCF of 7165,1952 is 1 .
LCM of Denominators means LCM of 99,496 as per the given fractions.
LCM of 99,496 is 49104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7165,1952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7165
List of positive integer factors of 7165 that divides 7165 without a remainder.
1,5,1433,7165
Factors of 1952
List of positive integer factors of 1952 that divides 1952 without a remainder.
1,2,4,8,16,32,61,122,244,488,976,1952
Greatest Common Factor
We found the factors 7165,1952 . The biggest common factor number is the GCF number.
So the greatest common factor 7165,1952 is 1.
Lets's calculate LCM of 99,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 49104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49104
Therefore, the GCF of Fractions 7165/99,1952/496 is 1/49104
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 99,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,496) x common factors =1 x 1 = 1
LCM(99,496) = ( 99 × 496 ) / 1
LCM(99,496) = 49104 / 1
LCM(99,496) = 49104
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 7165/99, 1952/496?
Answer: GCF of Numerators as per given numbers 7165/99, 1952/496 is
GCF of Numerators i.e. for 7165,1952 is 1
LCM of denominators i.e. for 99,496 is 49104.
Thus, GCF of Fractions is 1/49104.Finally, GCF of Fractions for 7165/99, 1952/496 is 1/49104.