Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/154,829/259
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 703,829
Greatest Common Factor of Numerators i.e. GCF of 703,829 is 1 .
LCM of Denominators means LCM of 154,259 as per the given fractions.
LCM of 154,259 is 5698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 703,829 . The biggest common factor number is the GCF number.
So the greatest common factor 703,829 is 1.
Lets's calculate LCM of 154,259
7 | 154, 259 |
22, 37 |
∴ So the LCM of the given numbers is 7 x 22 x 37 = 5698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5698
Therefore, the GCF of Fractions 703/154,829/259 is 1/5698
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 154,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,259) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(154,259) x common factors =7 x 1 = 7
LCM(154,259) = ( 154 × 259 ) / 7
LCM(154,259) = 39886 / 7
LCM(154,259) = 5698
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 703/154, 829/259?
Answer: GCF of Numerators as per given numbers 703/154, 829/259 is
GCF of Numerators i.e. for 703,829 is 1
LCM of denominators i.e. for 154,259 is 5698.
Thus, GCF of Fractions is 1/5698.Finally, GCF of Fractions for 703/154, 829/259 is 1/5698.