Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7439/862,1746/6548
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 7439,1746
Greatest Common Factor of Numerators i.e. GCF of 7439,1746 is 1 .
LCM of Denominators means LCM of 862,6548 as per the given fractions.
LCM of 862,6548 is 2822188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7439,1746
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7439
List of positive integer factors of 7439 that divides 7439 without a remainder.
1,43,173,7439
Factors of 1746
List of positive integer factors of 1746 that divides 1746 without a remainder.
1,2,3,6,9,18,97,194,291,582,873,1746
Greatest Common Factor
We found the factors 7439,1746 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,1746 is 1.
Lets's calculate LCM of 862,6548
2 | 862, 6548 |
431, 3274 |
∴ So the LCM of the given numbers is 2 x 431 x 3274 = 2822188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2822188
Therefore, the GCF of Fractions 7439/862,1746/6548 is 1/2822188
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 862,6548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,6548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,6548) x common factors =2 x 1 = 2
LCM(862,6548) = ( 862 × 6548 ) / 2
LCM(862,6548) = 5644376 / 2
LCM(862,6548) = 2822188
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 7439/862, 1746/6548?
Answer: GCF of Numerators as per given numbers 7439/862, 1746/6548 is
GCF of Numerators i.e. for 7439,1746 is 1
LCM of denominators i.e. for 862,6548 is 2822188.
Thus, GCF of Fractions is 1/2822188.Finally, GCF of Fractions for 7439/862, 1746/6548 is 1/2822188.