Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/23,90/18,38/46,63/644
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 81,90,38,63
Greatest Common Factor of Numerators i.e. GCF of 81,90,38,63 is 1 .
LCM of Denominators means LCM of 23,18,46,644 as per the given fractions.
LCM of 23,18,46,644 is 5796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,90,38,63
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Greatest Common Factor
We found the factors 81,90,38,63 . The biggest common factor number is the GCF number.
So the greatest common factor 81,90,38,63 is 1.
Lets's calculate LCM of 23,18,46,644
2 | 23, 18, 46, 644 |
23 | 23, 9, 23, 322 |
1, 9, 1, 14 |
∴ So the LCM of the given numbers is 2 x 23 x 1 x 9 x 1 x 14 = 5796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796
Therefore, the GCF of Fractions 81/23,90/18,38/46,63/644 is 1/5796
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 23,18,46,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,18,46,644) = 1
common factors(in case of two or more numbers have common factors) = 2116
GCF(23,18,46,644) x common factors =1 x 2116 = 2116
LCM(23,18,46,644) = ( 23 × 18 × 46 × 644 ) / 2116
LCM(23,18,46,644) = 12264336 / 2116
LCM(23,18,46,644) = 5796
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 81/23, 90/18, 38/46, 63/644?
Answer: GCF of Numerators as per given numbers 81/23, 90/18, 38/46, 63/644 is
GCF of Numerators i.e. for 81,90,38,63 is 1
LCM of denominators i.e. for 23,18,46,644 is 5796.
Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 81/23, 90/18, 38/46, 63/644 is 1/5796.