Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/73,575/9599
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 207,575
Greatest Common Factor of Numerators i.e. GCF of 207,575 is 23 .
LCM of Denominators means LCM of 73,9599 as per the given fractions.
LCM of 73,9599 is 700727 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 207,575
23 | 207, 575 |
9, 25 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 207,575 . The biggest common factor number is the GCF number.
So the greatest common factor 207,575 is 23.
Lets's calculate LCM of 73,9599
Given numbers has no common factors except 1. So, there LCM is their product i.e 700727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/700727
Therefore, the GCF of Fractions 207/73,575/9599 is 23/700727
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 73,9599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,9599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,9599) x common factors =1 x 1 = 1
LCM(73,9599) = ( 73 × 9599 ) / 1
LCM(73,9599) = 700727 / 1
LCM(73,9599) = 700727
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 207/73, 575/9599?
Answer: GCF of Numerators as per given numbers 207/73, 575/9599 is
GCF of Numerators i.e. for 207,575 is 23
LCM of denominators i.e. for 73,9599 is 700727.
Thus, GCF of Fractions is 23/700727.Finally, GCF of Fractions for 207/73, 575/9599 is 23/700727.