Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/87,999/46,893/37
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 26,999,893
Greatest Common Factor of Numerators i.e. GCF of 26,999,893 is 1 .
LCM of Denominators means LCM of 87,46,37 as per the given fractions.
LCM of 87,46,37 is 148074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,999,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Greatest Common Factor
We found the factors 26,999,893 . The biggest common factor number is the GCF number.
So the greatest common factor 26,999,893 is 1.
Lets's calculate LCM of 87,46,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 148074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148074
Therefore, the GCF of Fractions 26/87,999/46,893/37 is 1/148074
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 87,46,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,46,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,46,37) x common factors =1 x 1 = 1
LCM(87,46,37) = ( 87 × 46 × 37 ) / 1
LCM(87,46,37) = 148074 / 1
LCM(87,46,37) = 148074
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 26/87, 999/46, 893/37?
Answer: GCF of Numerators as per given numbers 26/87, 999/46, 893/37 is
GCF of Numerators i.e. for 26,999,893 is 1
LCM of denominators i.e. for 87,46,37 is 148074.
Thus, GCF of Fractions is 1/148074.Finally, GCF of Fractions for 26/87, 999/46, 893/37 is 1/148074.