Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/34,2545/473
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 683,2545
Greatest Common Factor of Numerators i.e. GCF of 683,2545 is 1 .
LCM of Denominators means LCM of 34,473 as per the given fractions.
LCM of 34,473 is 16082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,2545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 2545
List of positive integer factors of 2545 that divides 2545 without a remainder.
1,5,509,2545
Greatest Common Factor
We found the factors 683,2545 . The biggest common factor number is the GCF number.
So the greatest common factor 683,2545 is 1.
Lets's calculate LCM of 34,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 16082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16082
Therefore, the GCF of Fractions 683/34,2545/473 is 1/16082
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 34,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,473) x common factors =1 x 1 = 1
LCM(34,473) = ( 34 × 473 ) / 1
LCM(34,473) = 16082 / 1
LCM(34,473) = 16082
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 683/34, 2545/473?
Answer: GCF of Numerators as per given numbers 683/34, 2545/473 is
GCF of Numerators i.e. for 683,2545 is 1
LCM of denominators i.e. for 34,473 is 16082.
Thus, GCF of Fractions is 1/16082.Finally, GCF of Fractions for 683/34, 2545/473 is 1/16082.