Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 163/39,423/14,336/26
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 163,423,336
Greatest Common Factor of Numerators i.e. GCF of 163,423,336 is 1 .
LCM of Denominators means LCM of 39,14,26 as per the given fractions.
LCM of 39,14,26 is 546 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 163,423,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 163,423,336 . The biggest common factor number is the GCF number.
So the greatest common factor 163,423,336 is 1.
Lets's calculate LCM of 39,14,26
2 | 39, 14, 26 |
13 | 39, 7, 13 |
3, 7, 1 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 7 x 1 = 546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546
Therefore, the GCF of Fractions 163/39,423/14,336/26 is 1/546
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 39,14,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,14,26) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(39,14,26) x common factors =1 x 26 = 26
LCM(39,14,26) = ( 39 × 14 × 26 ) / 26
LCM(39,14,26) = 14196 / 26
LCM(39,14,26) = 546
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 163/39, 423/14, 336/26?
Answer: GCF of Numerators as per given numbers 163/39, 423/14, 336/26 is
GCF of Numerators i.e. for 163,423,336 is 1
LCM of denominators i.e. for 39,14,26 is 546.
Thus, GCF of Fractions is 1/546.Finally, GCF of Fractions for 163/39, 423/14, 336/26 is 1/546.