Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5887/74,9620/367
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 5887,9620
Greatest Common Factor of Numerators i.e. GCF of 5887,9620 is 1 .
LCM of Denominators means LCM of 74,367 as per the given fractions.
LCM of 74,367 is 27158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5887,9620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5887
List of positive integer factors of 5887 that divides 5887 without a remainder.
1,7,29,203,841,5887
Factors of 9620
List of positive integer factors of 9620 that divides 9620 without a remainder.
1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Greatest Common Factor
We found the factors 5887,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,9620 is 1.
Lets's calculate LCM of 74,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 27158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27158
Therefore, the GCF of Fractions 5887/74,9620/367 is 1/27158
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 74,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,367) x common factors =1 x 1 = 1
LCM(74,367) = ( 74 × 367 ) / 1
LCM(74,367) = 27158 / 1
LCM(74,367) = 27158
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 5887/74, 9620/367?
Answer: GCF of Numerators as per given numbers 5887/74, 9620/367 is
GCF of Numerators i.e. for 5887,9620 is 1
LCM of denominators i.e. for 74,367 is 27158.
Thus, GCF of Fractions is 1/27158.Finally, GCF of Fractions for 5887/74, 9620/367 is 1/27158.