Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/24,383/63,946/14
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 47,383,946
Greatest Common Factor of Numerators i.e. GCF of 47,383,946 is 1 .
LCM of Denominators means LCM of 24,63,14 as per the given fractions.
LCM of 24,63,14 is 504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,383,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 47,383,946 . The biggest common factor number is the GCF number.
So the greatest common factor 47,383,946 is 1.
Lets's calculate LCM of 24,63,14
2 | 24, 63, 14 |
3 | 12, 63, 7 |
7 | 4, 21, 7 |
4, 3, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 3 x 1 = 504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504
Therefore, the GCF of Fractions 47/24,383/63,946/14 is 1/504
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 24,63,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,63,14) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(24,63,14) x common factors =1 x 42 = 42
LCM(24,63,14) = ( 24 × 63 × 14 ) / 42
LCM(24,63,14) = 21168 / 42
LCM(24,63,14) = 504
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 47/24, 383/63, 946/14?
Answer: GCF of Numerators as per given numbers 47/24, 383/63, 946/14 is
GCF of Numerators i.e. for 47,383,946 is 1
LCM of denominators i.e. for 24,63,14 is 504.
Thus, GCF of Fractions is 1/504.Finally, GCF of Fractions for 47/24, 383/63, 946/14 is 1/504.