Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/39,272/953
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 216,272
Greatest Common Factor of Numerators i.e. GCF of 216,272 is 8 .
LCM of Denominators means LCM of 39,953 as per the given fractions.
LCM of 39,953 is 37167 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 216,272
2 | 216, 272 |
2 | 108, 136 |
2 | 54, 68 |
27, 34 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 216,272 . The biggest common factor number is the GCF number.
So the greatest common factor 216,272 is 8.
Lets's calculate LCM of 39,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 37167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/37167
Therefore, the GCF of Fractions 216/39,272/953 is 8/37167
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 39,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,953) x common factors =1 x 1 = 1
LCM(39,953) = ( 39 × 953 ) / 1
LCM(39,953) = 37167 / 1
LCM(39,953) = 37167
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 216/39, 272/953?
Answer: GCF of Numerators as per given numbers 216/39, 272/953 is
GCF of Numerators i.e. for 216,272 is 8
LCM of denominators i.e. for 39,953 is 37167.
Thus, GCF of Fractions is 8/37167.Finally, GCF of Fractions for 216/39, 272/953 is 8/37167.