Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/879,875/415
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 109,875
Greatest Common Factor of Numerators i.e. GCF of 109,875 is 1 .
LCM of Denominators means LCM of 879,415 as per the given fractions.
LCM of 879,415 is 364785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 109,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
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 109,875 . The biggest common factor number is the GCF number.
So the greatest common factor 109,875 is 1.
Lets's calculate LCM of 879,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 364785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364785
Therefore, the GCF of Fractions 109/879,875/415 is 1/364785
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 879,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,415) x common factors =1 x 1 = 1
LCM(879,415) = ( 879 × 415 ) / 1
LCM(879,415) = 364785 / 1
LCM(879,415) = 364785
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 109/879, 875/415?
Answer: GCF of Numerators as per given numbers 109/879, 875/415 is
GCF of Numerators i.e. for 109,875 is 1
LCM of denominators i.e. for 879,415 is 364785.
Thus, GCF of Fractions is 1/364785.Finally, GCF of Fractions for 109/879, 875/415 is 1/364785.