Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/79,69/590,480/172
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 14,69,480
Greatest Common Factor of Numerators i.e. GCF of 14,69,480 is 1 .
LCM of Denominators means LCM of 79,590,172 as per the given fractions.
LCM of 79,590,172 is 4008460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,69,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 14,69,480 . The biggest common factor number is the GCF number.
So the greatest common factor 14,69,480 is 1.
Lets's calculate LCM of 79,590,172
2 | 79, 590, 172 |
79, 295, 86 |
∴ So the LCM of the given numbers is 2 x 79 x 295 x 86 = 4008460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4008460
Therefore, the GCF of Fractions 14/79,69/590,480/172 is 1/4008460
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 79,590,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,590,172) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,590,172) x common factors =1 x 2 = 2
LCM(79,590,172) = ( 79 × 590 × 172 ) / 2
LCM(79,590,172) = 8016920 / 2
LCM(79,590,172) = 4008460
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 14/79, 69/590, 480/172?
Answer: GCF of Numerators as per given numbers 14/79, 69/590, 480/172 is
GCF of Numerators i.e. for 14,69,480 is 1
LCM of denominators i.e. for 79,590,172 is 4008460.
Thus, GCF of Fractions is 1/4008460.Finally, GCF of Fractions for 14/79, 69/590, 480/172 is 1/4008460.