Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 284/43,151/34,549/427
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 284,151,549
Greatest Common Factor of Numerators i.e. GCF of 284,151,549 is 1 .
LCM of Denominators means LCM of 43,34,427 as per the given fractions.
LCM of 43,34,427 is 624274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 284,151,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
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 284,151,549 . The biggest common factor number is the GCF number.
So the greatest common factor 284,151,549 is 1.
Lets's calculate LCM of 43,34,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 624274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624274
Therefore, the GCF of Fractions 284/43,151/34,549/427 is 1/624274
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 43,34,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,34,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,34,427) x common factors =1 x 1 = 1
LCM(43,34,427) = ( 43 × 34 × 427 ) / 1
LCM(43,34,427) = 624274 / 1
LCM(43,34,427) = 624274
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 284/43, 151/34, 549/427?
Answer: GCF of Numerators as per given numbers 284/43, 151/34, 549/427 is
GCF of Numerators i.e. for 284,151,549 is 1
LCM of denominators i.e. for 43,34,427 is 624274.
Thus, GCF of Fractions is 1/624274.Finally, GCF of Fractions for 284/43, 151/34, 549/427 is 1/624274.