Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6982/494,1473/7049
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 6982,1473
Greatest Common Factor of Numerators i.e. GCF of 6982,1473 is 1 .
LCM of Denominators means LCM of 494,7049 as per the given fractions.
LCM of 494,7049 is 183274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6982,1473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6982
List of positive integer factors of 6982 that divides 6982 without a remainder.
1,2,3491,6982
Factors of 1473
List of positive integer factors of 1473 that divides 1473 without a remainder.
1,3,491,1473
Greatest Common Factor
We found the factors 6982,1473 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,1473 is 1.
Lets's calculate LCM of 494,7049
19 | 494, 7049 |
26, 371 |
∴ So the LCM of the given numbers is 19 x 26 x 371 = 183274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183274
Therefore, the GCF of Fractions 6982/494,1473/7049 is 1/183274
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 494,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,7049) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(494,7049) x common factors =19 x 1 = 19
LCM(494,7049) = ( 494 × 7049 ) / 19
LCM(494,7049) = 3482206 / 19
LCM(494,7049) = 183274
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 6982/494, 1473/7049?
Answer: GCF of Numerators as per given numbers 6982/494, 1473/7049 is
GCF of Numerators i.e. for 6982,1473 is 1
LCM of denominators i.e. for 494,7049 is 183274.
Thus, GCF of Fractions is 1/183274.Finally, GCF of Fractions for 6982/494, 1473/7049 is 1/183274.