Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2579/368,8858/374
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 2579,8858
Greatest Common Factor of Numerators i.e. GCF of 2579,8858 is 1 .
LCM of Denominators means LCM of 368,374 as per the given fractions.
LCM of 368,374 is 68816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2579,8858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2579
List of positive integer factors of 2579 that divides 2579 without a remainder.
1,2579
Factors of 8858
List of positive integer factors of 8858 that divides 8858 without a remainder.
1,2,43,86,103,206,4429,8858
Greatest Common Factor
We found the factors 2579,8858 . The biggest common factor number is the GCF number.
So the greatest common factor 2579,8858 is 1.
Lets's calculate LCM of 368,374
2 | 368, 374 |
184, 187 |
∴ So the LCM of the given numbers is 2 x 184 x 187 = 68816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68816
Therefore, the GCF of Fractions 2579/368,8858/374 is 1/68816
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 368,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,374) x common factors =2 x 1 = 2
LCM(368,374) = ( 368 × 374 ) / 2
LCM(368,374) = 137632 / 2
LCM(368,374) = 68816
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 2579/368, 8858/374?
Answer: GCF of Numerators as per given numbers 2579/368, 8858/374 is
GCF of Numerators i.e. for 2579,8858 is 1
LCM of denominators i.e. for 368,374 is 68816.
Thus, GCF of Fractions is 1/68816.Finally, GCF of Fractions for 2579/368, 8858/374 is 1/68816.