Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 486/46,1424/983
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 486,1424
Greatest Common Factor of Numerators i.e. GCF of 486,1424 is 2 .
LCM of Denominators means LCM of 46,983 as per the given fractions.
LCM of 46,983 is 45218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 486,1424
2 | 486, 1424 |
243, 712 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 486,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 486,1424 is 2.
Lets's calculate LCM of 46,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 45218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45218
Therefore, the GCF of Fractions 486/46,1424/983 is 2/45218
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 46,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,983) x common factors =1 x 1 = 1
LCM(46,983) = ( 46 × 983 ) / 1
LCM(46,983) = 45218 / 1
LCM(46,983) = 45218
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 486/46, 1424/983?
Answer: GCF of Numerators as per given numbers 486/46, 1424/983 is
GCF of Numerators i.e. for 486,1424 is 2
LCM of denominators i.e. for 46,983 is 45218.
Thus, GCF of Fractions is 2/45218.Finally, GCF of Fractions for 486/46, 1424/983 is 2/45218.