Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 165/14,570/211
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 165,570
Greatest Common Factor of Numerators i.e. GCF of 165,570 is 15 .
LCM of Denominators means LCM of 14,211 as per the given fractions.
LCM of 14,211 is 2954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 165,570
3 | 165, 570 |
5 | 55, 190 |
11, 38 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 165,570 . The biggest common factor number is the GCF number.
So the greatest common factor 165,570 is 15.
Lets's calculate LCM of 14,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2954
Therefore, the GCF of Fractions 165/14,570/211 is 15/2954
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 14,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,211) x common factors =1 x 1 = 1
LCM(14,211) = ( 14 × 211 ) / 1
LCM(14,211) = 2954 / 1
LCM(14,211) = 2954
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 165/14, 570/211?
Answer: GCF of Numerators as per given numbers 165/14, 570/211 is
GCF of Numerators i.e. for 165,570 is 15
LCM of denominators i.e. for 14,211 is 2954.
Thus, GCF of Fractions is 15/2954.Finally, GCF of Fractions for 165/14, 570/211 is 15/2954.