Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7408/46,6344/461
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 7408,6344
Greatest Common Factor of Numerators i.e. GCF of 7408,6344 is 8 .
LCM of Denominators means LCM of 46,461 as per the given fractions.
LCM of 46,461 is 21206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7408,6344
2 | 7408, 6344 |
2 | 3704, 3172 |
2 | 1852, 1586 |
926, 793 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 7408
List of positive integer factors of 7408 that divides 7408 without a remainder.
1,2,4,8,16,463,926,1852,3704,7408
Factors of 6344
List of positive integer factors of 6344 that divides 6344 without a remainder.
1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors 7408,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 7408,6344 is 8.
Lets's calculate LCM of 46,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 21206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/21206
Therefore, the GCF of Fractions 7408/46,6344/461 is 8/21206
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 46,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,461) x common factors =1 x 1 = 1
LCM(46,461) = ( 46 × 461 ) / 1
LCM(46,461) = 21206 / 1
LCM(46,461) = 21206
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 7408/46, 6344/461?
Answer: GCF of Numerators as per given numbers 7408/46, 6344/461 is
GCF of Numerators i.e. for 7408,6344 is 8
LCM of denominators i.e. for 46,461 is 21206.
Thus, GCF of Fractions is 8/21206.Finally, GCF of Fractions for 7408/46, 6344/461 is 8/21206.