Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6069/46,5814/306
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 6069,5814
Greatest Common Factor of Numerators i.e. GCF of 6069,5814 is 51 .
LCM of Denominators means LCM of 46,306 as per the given fractions.
LCM of 46,306 is 7038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6069,5814
3 | 6069, 5814 |
17 | 2023, 1938 |
119, 114 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Factors of 6069
List of positive integer factors of 6069 that divides 6069 without a remainder.
1,3,7,17,21,51,119,289,357,867,2023,6069
Factors of 5814
List of positive integer factors of 5814 that divides 5814 without a remainder.
1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Greatest Common Factor
We found the factors 6069,5814 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,5814 is 51.
Lets's calculate LCM of 46,306
2 | 46, 306 |
23, 153 |
∴ So the LCM of the given numbers is 2 x 23 x 153 = 7038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/7038
Therefore, the GCF of Fractions 6069/46,5814/306 is 51/7038
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 46,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,306) x common factors =2 x 1 = 2
LCM(46,306) = ( 46 × 306 ) / 2
LCM(46,306) = 14076 / 2
LCM(46,306) = 7038
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 6069/46, 5814/306?
Answer: GCF of Numerators as per given numbers 6069/46, 5814/306 is
GCF of Numerators i.e. for 6069,5814 is 51
LCM of denominators i.e. for 46,306 is 7038.
Thus, GCF of Fractions is 51/7038.Finally, GCF of Fractions for 6069/46, 5814/306 is 51/7038.