Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2544/16,7107/216
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 2544,7107
Greatest Common Factor of Numerators i.e. GCF of 2544,7107 is 3 .
LCM of Denominators means LCM of 16,216 as per the given fractions.
LCM of 16,216 is 432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2544,7107
3 | 2544, 7107 |
848, 2369 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2544
List of positive integer factors of 2544 that divides 2544 without a remainder.
1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1,3,23,69,103,309,2369,7107
Greatest Common Factor
We found the factors 2544,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,7107 is 3.
Lets's calculate LCM of 16,216
2 | 16, 216 |
2 | 8, 108 |
2 | 4, 54 |
2, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 = 432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/432
Therefore, the GCF of Fractions 2544/16,7107/216 is 3/432
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 16,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,216) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(16,216) x common factors =8 x 1 = 8
LCM(16,216) = ( 16 × 216 ) / 8
LCM(16,216) = 3456 / 8
LCM(16,216) = 432
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 2544/16, 7107/216?
Answer: GCF of Numerators as per given numbers 2544/16, 7107/216 is
GCF of Numerators i.e. for 2544,7107 is 3
LCM of denominators i.e. for 16,216 is 432.
Thus, GCF of Fractions is 3/432.Finally, GCF of Fractions for 2544/16, 7107/216 is 3/432.