Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7271/312,2622/2054
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 7271,2622
Greatest Common Factor of Numerators i.e. GCF of 7271,2622 is 1 .
LCM of Denominators means LCM of 312,2054 as per the given fractions.
LCM of 312,2054 is 24648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7271,2622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1,11,661,7271
Factors of 2622
List of positive integer factors of 2622 that divides 2622 without a remainder.
1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622
Greatest Common Factor
We found the factors 7271,2622 . The biggest common factor number is the GCF number.
So the greatest common factor 7271,2622 is 1.
Lets's calculate LCM of 312,2054
2 | 312, 2054 |
13 | 156, 1027 |
12, 79 |
∴ So the LCM of the given numbers is 2 x 13 x 12 x 79 = 24648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24648
Therefore, the GCF of Fractions 7271/312,2622/2054 is 1/24648
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 312,2054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,2054) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(312,2054) x common factors =26 x 1 = 26
LCM(312,2054) = ( 312 × 2054 ) / 26
LCM(312,2054) = 640848 / 26
LCM(312,2054) = 24648
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 7271/312, 2622/2054?
Answer: GCF of Numerators as per given numbers 7271/312, 2622/2054 is
GCF of Numerators i.e. for 7271,2622 is 1
LCM of denominators i.e. for 312,2054 is 24648.
Thus, GCF of Fractions is 1/24648.Finally, GCF of Fractions for 7271/312, 2622/2054 is 1/24648.