Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/824,705/933
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 419,705
Greatest Common Factor of Numerators i.e. GCF of 419,705 is 1 .
LCM of Denominators means LCM of 824,933 as per the given fractions.
LCM of 824,933 is 768792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 419,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
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 419,705 . The biggest common factor number is the GCF number.
So the greatest common factor 419,705 is 1.
Lets's calculate LCM of 824,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 768792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768792
Therefore, the GCF of Fractions 419/824,705/933 is 1/768792
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 824,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,933) x common factors =1 x 1 = 1
LCM(824,933) = ( 824 × 933 ) / 1
LCM(824,933) = 768792 / 1
LCM(824,933) = 768792
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 419/824, 705/933?
Answer: GCF of Numerators as per given numbers 419/824, 705/933 is
GCF of Numerators i.e. for 419,705 is 1
LCM of denominators i.e. for 824,933 is 768792.
Thus, GCF of Fractions is 1/768792.Finally, GCF of Fractions for 419/824, 705/933 is 1/768792.