Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3074/814,5988/412
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 3074,5988
Greatest Common Factor of Numerators i.e. GCF of 3074,5988 is 2 .
LCM of Denominators means LCM of 814,412 as per the given fractions.
LCM of 814,412 is 167684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3074,5988
2 | 3074, 5988 |
1537, 2994 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3074
List of positive integer factors of 3074 that divides 3074 without a remainder.
1,2,29,53,58,106,1537,3074
Factors of 5988
List of positive integer factors of 5988 that divides 5988 without a remainder.
1,2,3,4,6,12,499,998,1497,1996,2994,5988
Greatest Common Factor
We found the factors 3074,5988 . The biggest common factor number is the GCF number.
So the greatest common factor 3074,5988 is 2.
Lets's calculate LCM of 814,412
2 | 814, 412 |
407, 206 |
∴ So the LCM of the given numbers is 2 x 407 x 206 = 167684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167684
Therefore, the GCF of Fractions 3074/814,5988/412 is 2/167684
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 814,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,412) x common factors =2 x 1 = 2
LCM(814,412) = ( 814 × 412 ) / 2
LCM(814,412) = 335368 / 2
LCM(814,412) = 167684
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 3074/814, 5988/412?
Answer: GCF of Numerators as per given numbers 3074/814, 5988/412 is
GCF of Numerators i.e. for 3074,5988 is 2
LCM of denominators i.e. for 814,412 is 167684.
Thus, GCF of Fractions is 2/167684.Finally, GCF of Fractions for 3074/814, 5988/412 is 2/167684.