Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 523/9355,685/2742
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 523,685
Greatest Common Factor of Numerators i.e. GCF of 523,685 is 1 .
LCM of Denominators means LCM of 9355,2742 as per the given fractions.
LCM of 9355,2742 is 25651410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 523,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 523,685 . The biggest common factor number is the GCF number.
So the greatest common factor 523,685 is 1.
Lets's calculate LCM of 9355,2742
Given numbers has no common factors except 1. So, there LCM is their product i.e 25651410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25651410
Therefore, the GCF of Fractions 523/9355,685/2742 is 1/25651410
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 9355,2742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9355,2742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9355,2742) x common factors =1 x 1 = 1
LCM(9355,2742) = ( 9355 × 2742 ) / 1
LCM(9355,2742) = 25651410 / 1
LCM(9355,2742) = 25651410
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 523/9355, 685/2742?
Answer: GCF of Numerators as per given numbers 523/9355, 685/2742 is
GCF of Numerators i.e. for 523,685 is 1
LCM of denominators i.e. for 9355,2742 is 25651410.
Thus, GCF of Fractions is 1/25651410.Finally, GCF of Fractions for 523/9355, 685/2742 is 1/25651410.