Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/29,875/8179
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 720,875
Greatest Common Factor of Numerators i.e. GCF of 720,875 is 5 .
LCM of Denominators means LCM of 29,8179 as per the given fractions.
LCM of 29,8179 is 237191 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,875
5 | 720, 875 |
144, 175 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 720,875 . The biggest common factor number is the GCF number.
So the greatest common factor 720,875 is 5.
Lets's calculate LCM of 29,8179
Given numbers has no common factors except 1. So, there LCM is their product i.e 237191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/237191
Therefore, the GCF of Fractions 720/29,875/8179 is 5/237191
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 29,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,8179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,8179) x common factors =1 x 1 = 1
LCM(29,8179) = ( 29 × 8179 ) / 1
LCM(29,8179) = 237191 / 1
LCM(29,8179) = 237191
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 720/29, 875/8179?
Answer: GCF of Numerators as per given numbers 720/29, 875/8179 is
GCF of Numerators i.e. for 720,875 is 5
LCM of denominators i.e. for 29,8179 is 237191.
Thus, GCF of Fractions is 5/237191.Finally, GCF of Fractions for 720/29, 875/8179 is 5/237191.