Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/52,14/61,416/624
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 19,14,416
Greatest Common Factor of Numerators i.e. GCF of 19,14,416 is 1 .
LCM of Denominators means LCM of 52,61,624 as per the given fractions.
LCM of 52,61,624 is 38064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,14,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 19,14,416 . The biggest common factor number is the GCF number.
So the greatest common factor 19,14,416 is 1.
Lets's calculate LCM of 52,61,624
2 | 52, 61, 624 |
2 | 26, 61, 312 |
13 | 13, 61, 156 |
1, 61, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 61 x 12 = 38064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38064
Therefore, the GCF of Fractions 19/52,14/61,416/624 is 1/38064
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 52,61,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,61,624) = 1
common factors(in case of two or more numbers have common factors) = 52
GCF(52,61,624) x common factors =1 x 52 = 52
LCM(52,61,624) = ( 52 × 61 × 624 ) / 52
LCM(52,61,624) = 1979328 / 52
LCM(52,61,624) = 38064
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 19/52, 14/61, 416/624?
Answer: GCF of Numerators as per given numbers 19/52, 14/61, 416/624 is
GCF of Numerators i.e. for 19,14,416 is 1
LCM of denominators i.e. for 52,61,624 is 38064.
Thus, GCF of Fractions is 1/38064.Finally, GCF of Fractions for 19/52, 14/61, 416/624 is 1/38064.