Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/84,83/42,48/62,24/90
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 83,83,48,24
Greatest Common Factor of Numerators i.e. GCF of 83,83,48,24 is 1 .
LCM of Denominators means LCM of 84,42,62,90 as per the given fractions.
LCM of 84,42,62,90 is 39060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,83,48,24
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 83,83,48,24 . The biggest common factor number is the GCF number.
So the greatest common factor 83,83,48,24 is 1.
Lets's calculate LCM of 84,42,62,90
2 | 84, 42, 62, 90 |
3 | 42, 21, 31, 45 |
7 | 14, 7, 31, 15 |
2, 1, 31, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 1 x 31 x 15 = 39060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39060
Therefore, the GCF of Fractions 83/84,83/42,48/62,24/90 is 1/39060
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 84,42,62,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,42,62,90) = 2
common factors(in case of two or more numbers have common factors) = 252
GCF(84,42,62,90) x common factors =2 x 252 = 504
LCM(84,42,62,90) = ( 84 × 42 × 62 × 90 ) / 504
LCM(84,42,62,90) = 19686240 / 504
LCM(84,42,62,90) = 39060
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 83/84, 83/42, 48/62, 24/90?
Answer: GCF of Numerators as per given numbers 83/84, 83/42, 48/62, 24/90 is
GCF of Numerators i.e. for 83,83,48,24 is 1
LCM of denominators i.e. for 84,42,62,90 is 39060.
Thus, GCF of Fractions is 1/39060.Finally, GCF of Fractions for 83/84, 83/42, 48/62, 24/90 is 1/39060.