Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/57,268/52,420/347
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 833,268,420
Greatest Common Factor of Numerators i.e. GCF of 833,268,420 is 1 .
LCM of Denominators means LCM of 57,52,347 as per the given fractions.
LCM of 57,52,347 is 1028508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 833,268,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 833,268,420 . The biggest common factor number is the GCF number.
So the greatest common factor 833,268,420 is 1.
Lets's calculate LCM of 57,52,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 1028508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1028508
Therefore, the GCF of Fractions 833/57,268/52,420/347 is 1/1028508
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 57,52,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,52,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,52,347) x common factors =1 x 1 = 1
LCM(57,52,347) = ( 57 × 52 × 347 ) / 1
LCM(57,52,347) = 1028508 / 1
LCM(57,52,347) = 1028508
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 833/57, 268/52, 420/347?
Answer: GCF of Numerators as per given numbers 833/57, 268/52, 420/347 is
GCF of Numerators i.e. for 833,268,420 is 1
LCM of denominators i.e. for 57,52,347 is 1028508.
Thus, GCF of Fractions is 1/1028508.Finally, GCF of Fractions for 833/57, 268/52, 420/347 is 1/1028508.