Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/65,466/59,722/38
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 889,466,722
Greatest Common Factor of Numerators i.e. GCF of 889,466,722 is 1 .
LCM of Denominators means LCM of 65,59,38 as per the given fractions.
LCM of 65,59,38 is 145730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 889,466,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 889,466,722 . The biggest common factor number is the GCF number.
So the greatest common factor 889,466,722 is 1.
Lets's calculate LCM of 65,59,38
Given numbers has no common factors except 1. So, there LCM is their product i.e 145730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145730
Therefore, the GCF of Fractions 889/65,466/59,722/38 is 1/145730
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 65,59,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,59,38) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,59,38) x common factors =1 x 1 = 1
LCM(65,59,38) = ( 65 × 59 × 38 ) / 1
LCM(65,59,38) = 145730 / 1
LCM(65,59,38) = 145730
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 889/65, 466/59, 722/38?
Answer: GCF of Numerators as per given numbers 889/65, 466/59, 722/38 is
GCF of Numerators i.e. for 889,466,722 is 1
LCM of denominators i.e. for 65,59,38 is 145730.
Thus, GCF of Fractions is 1/145730.Finally, GCF of Fractions for 889/65, 466/59, 722/38 is 1/145730.