Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/129,718/785
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 599,718
Greatest Common Factor of Numerators i.e. GCF of 599,718 is 1 .
LCM of Denominators means LCM of 129,785 as per the given fractions.
LCM of 129,785 is 101265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 599,718
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 599,718 . The biggest common factor number is the GCF number.
So the greatest common factor 599,718 is 1.
Lets's calculate LCM of 129,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 101265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101265
Therefore, the GCF of Fractions 599/129,718/785 is 1/101265
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 129,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,785) x common factors =1 x 1 = 1
LCM(129,785) = ( 129 × 785 ) / 1
LCM(129,785) = 101265 / 1
LCM(129,785) = 101265
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 599/129, 718/785?
Answer: GCF of Numerators as per given numbers 599/129, 718/785 is
GCF of Numerators i.e. for 599,718 is 1
LCM of denominators i.e. for 129,785 is 101265.
Thus, GCF of Fractions is 1/101265.Finally, GCF of Fractions for 599/129, 718/785 is 1/101265.