Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 274/289,614/440
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 274,614
Greatest Common Factor of Numerators i.e. GCF of 274,614 is 2 .
LCM of Denominators means LCM of 289,440 as per the given fractions.
LCM of 289,440 is 127160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 274,614
2 | 274, 614 |
137, 307 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 274,614 . The biggest common factor number is the GCF number.
So the greatest common factor 274,614 is 2.
Lets's calculate LCM of 289,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 127160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127160
Therefore, the GCF of Fractions 274/289,614/440 is 2/127160
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 289,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,440) x common factors =1 x 1 = 1
LCM(289,440) = ( 289 × 440 ) / 1
LCM(289,440) = 127160 / 1
LCM(289,440) = 127160
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 274/289, 614/440?
Answer: GCF of Numerators as per given numbers 274/289, 614/440 is
GCF of Numerators i.e. for 274,614 is 2
LCM of denominators i.e. for 289,440 is 127160.
Thus, GCF of Fractions is 2/127160.Finally, GCF of Fractions for 274/289, 614/440 is 2/127160.