Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/734,705/880
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 29,705
Greatest Common Factor of Numerators i.e. GCF of 29,705 is 1 .
LCM of Denominators means LCM of 734,880 as per the given fractions.
LCM of 734,880 is 322960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 29,705 . The biggest common factor number is the GCF number.
So the greatest common factor 29,705 is 1.
Lets's calculate LCM of 734,880
2 | 734, 880 |
367, 440 |
∴ So the LCM of the given numbers is 2 x 367 x 440 = 322960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322960
Therefore, the GCF of Fractions 29/734,705/880 is 1/322960
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 734,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,880) x common factors =2 x 1 = 2
LCM(734,880) = ( 734 × 880 ) / 2
LCM(734,880) = 645920 / 2
LCM(734,880) = 322960
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 29/734, 705/880?
Answer: GCF of Numerators as per given numbers 29/734, 705/880 is
GCF of Numerators i.e. for 29,705 is 1
LCM of denominators i.e. for 734,880 is 322960.
Thus, GCF of Fractions is 1/322960.Finally, GCF of Fractions for 29/734, 705/880 is 1/322960.