Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1325/848,2924/368
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 1325,2924
Greatest Common Factor of Numerators i.e. GCF of 1325,2924 is 1 .
LCM of Denominators means LCM of 848,368 as per the given fractions.
LCM of 848,368 is 19504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1325,2924
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1325
List of positive integer factors of 1325 that divides 1325 without a remainder.
1,5,25,53,265,1325
Factors of 2924
List of positive integer factors of 2924 that divides 2924 without a remainder.
1,2,4,17,34,43,68,86,172,731,1462,2924
Greatest Common Factor
We found the factors 1325,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,2924 is 1.
Lets's calculate LCM of 848,368
2 | 848, 368 |
2 | 424, 184 |
2 | 212, 92 |
2 | 106, 46 |
53, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 23 = 19504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19504
Therefore, the GCF of Fractions 1325/848,2924/368 is 1/19504
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 848,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,368) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(848,368) x common factors =16 x 1 = 16
LCM(848,368) = ( 848 × 368 ) / 16
LCM(848,368) = 312064 / 16
LCM(848,368) = 19504
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 1325/848, 2924/368?
Answer: GCF of Numerators as per given numbers 1325/848, 2924/368 is
GCF of Numerators i.e. for 1325,2924 is 1
LCM of denominators i.e. for 848,368 is 19504.
Thus, GCF of Fractions is 1/19504.Finally, GCF of Fractions for 1325/848, 2924/368 is 1/19504.