Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/680,6497/294
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 481,6497
Greatest Common Factor of Numerators i.e. GCF of 481,6497 is 1 .
LCM of Denominators means LCM of 680,294 as per the given fractions.
LCM of 680,294 is 99960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,6497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1,73,89,6497
Greatest Common Factor
We found the factors 481,6497 . The biggest common factor number is the GCF number.
So the greatest common factor 481,6497 is 1.
Lets's calculate LCM of 680,294
2 | 680, 294 |
340, 147 |
∴ So the LCM of the given numbers is 2 x 340 x 147 = 99960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99960
Therefore, the GCF of Fractions 481/680,6497/294 is 1/99960
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 680,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,294) x common factors =2 x 1 = 2
LCM(680,294) = ( 680 × 294 ) / 2
LCM(680,294) = 199920 / 2
LCM(680,294) = 99960
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 481/680, 6497/294?
Answer: GCF of Numerators as per given numbers 481/680, 6497/294 is
GCF of Numerators i.e. for 481,6497 is 1
LCM of denominators i.e. for 680,294 is 99960.
Thus, GCF of Fractions is 1/99960.Finally, GCF of Fractions for 481/680, 6497/294 is 1/99960.