Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 273/472,612/781,144/672
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 273,612,144
Greatest Common Factor of Numerators i.e. GCF of 273,612,144 is 3 .
LCM of Denominators means LCM of 472,781,672 as per the given fractions.
LCM of 472,781,672 is 30965088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 273,612,144
3 | 273, 612, 144 |
91, 204, 48 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 273,612,144 . The biggest common factor number is the GCF number.
So the greatest common factor 273,612,144 is 3.
Lets's calculate LCM of 472,781,672
2 | 472, 781, 672 |
2 | 236, 781, 336 |
2 | 118, 781, 168 |
59, 781, 84 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 781 x 84 = 30965088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30965088
Therefore, the GCF of Fractions 273/472,612/781,144/672 is 3/30965088
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 472,781,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,781,672) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(472,781,672) x common factors =1 x 8 = 8
LCM(472,781,672) = ( 472 × 781 × 672 ) / 8
LCM(472,781,672) = 247720704 / 8
LCM(472,781,672) = 30965088
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 273/472, 612/781, 144/672?
Answer: GCF of Numerators as per given numbers 273/472, 612/781, 144/672 is
GCF of Numerators i.e. for 273,612,144 is 3
LCM of denominators i.e. for 472,781,672 is 30965088.
Thus, GCF of Fractions is 3/30965088.Finally, GCF of Fractions for 273/472, 612/781, 144/672 is 3/30965088.