Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/551,338/801,549/547
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 26,338,549
Greatest Common Factor of Numerators i.e. GCF of 26,338,549 is 1 .
LCM of Denominators means LCM of 551,801,547 as per the given fractions.
LCM of 551,801,547 is 241418997 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,338,549
∴ 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 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 26,338,549 . The biggest common factor number is the GCF number.
So the greatest common factor 26,338,549 is 1.
Lets's calculate LCM of 551,801,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 241418997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241418997
Therefore, the GCF of Fractions 26/551,338/801,549/547 is 1/241418997
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 551,801,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,801,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,801,547) x common factors =1 x 1 = 1
LCM(551,801,547) = ( 551 × 801 × 547 ) / 1
LCM(551,801,547) = 241418997 / 1
LCM(551,801,547) = 241418997
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 26/551, 338/801, 549/547?
Answer: GCF of Numerators as per given numbers 26/551, 338/801, 549/547 is
GCF of Numerators i.e. for 26,338,549 is 1
LCM of denominators i.e. for 551,801,547 is 241418997.
Thus, GCF of Fractions is 1/241418997.Finally, GCF of Fractions for 26/551, 338/801, 549/547 is 1/241418997.