Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/66,859/67,360/17
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 58,859,360
Greatest Common Factor of Numerators i.e. GCF of 58,859,360 is 1 .
LCM of Denominators means LCM of 66,67,17 as per the given fractions.
LCM of 66,67,17 is 75174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,859,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 58,859,360 . The biggest common factor number is the GCF number.
So the greatest common factor 58,859,360 is 1.
Lets's calculate LCM of 66,67,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 75174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75174
Therefore, the GCF of Fractions 58/66,859/67,360/17 is 1/75174
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 66,67,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,67,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,67,17) x common factors =1 x 1 = 1
LCM(66,67,17) = ( 66 × 67 × 17 ) / 1
LCM(66,67,17) = 75174 / 1
LCM(66,67,17) = 75174
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 58/66, 859/67, 360/17?
Answer: GCF of Numerators as per given numbers 58/66, 859/67, 360/17 is
GCF of Numerators i.e. for 58,859,360 is 1
LCM of denominators i.e. for 66,67,17 is 75174.
Thus, GCF of Fractions is 1/75174.Finally, GCF of Fractions for 58/66, 859/67, 360/17 is 1/75174.