Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2734/137,1838/9533
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 2734,1838
Greatest Common Factor of Numerators i.e. GCF of 2734,1838 is 2 .
LCM of Denominators means LCM of 137,9533 as per the given fractions.
LCM of 137,9533 is 1306021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2734,1838
2 | 2734, 1838 |
1367, 919 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2734
List of positive integer factors of 2734 that divides 2734 without a remainder.
1,2,1367,2734
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Greatest Common Factor
We found the factors 2734,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 2734,1838 is 2.
Lets's calculate LCM of 137,9533
Given numbers has no common factors except 1. So, there LCM is their product i.e 1306021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1306021
Therefore, the GCF of Fractions 2734/137,1838/9533 is 2/1306021
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 137,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,9533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,9533) x common factors =1 x 1 = 1
LCM(137,9533) = ( 137 × 9533 ) / 1
LCM(137,9533) = 1306021 / 1
LCM(137,9533) = 1306021
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 2734/137, 1838/9533?
Answer: GCF of Numerators as per given numbers 2734/137, 1838/9533 is
GCF of Numerators i.e. for 2734,1838 is 2
LCM of denominators i.e. for 137,9533 is 1306021.
Thus, GCF of Fractions is 2/1306021.Finally, GCF of Fractions for 2734/137, 1838/9533 is 2/1306021.