Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/99,24/20,72/90,75/22
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 88,24,72,75
Greatest Common Factor of Numerators i.e. GCF of 88,24,72,75 is 1 .
LCM of Denominators means LCM of 99,20,90,22 as per the given fractions.
LCM of 99,20,90,22 is 1980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,24,72,75
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Greatest Common Factor
We found the factors 88,24,72,75 . The biggest common factor number is the GCF number.
So the greatest common factor 88,24,72,75 is 1.
Lets's calculate LCM of 99,20,90,22
2 | 99, 20, 90, 22 |
3 | 99, 10, 45, 11 |
3 | 33, 10, 15, 11 |
5 | 11, 10, 5, 11 |
11 | 11, 2, 1, 11 |
1, 2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 1 x 2 x 1 x 1 = 1980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980
Therefore, the GCF of Fractions 88/99,24/20,72/90,75/22 is 1/1980
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 99,20,90,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,20,90,22) = 1
common factors(in case of two or more numbers have common factors) = 1980
GCF(99,20,90,22) x common factors =1 x 1980 = 1980
LCM(99,20,90,22) = ( 99 × 20 × 90 × 22 ) / 1980
LCM(99,20,90,22) = 3920400 / 1980
LCM(99,20,90,22) = 1980
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 88/99, 24/20, 72/90, 75/22?
Answer: GCF of Numerators as per given numbers 88/99, 24/20, 72/90, 75/22 is
GCF of Numerators i.e. for 88,24,72,75 is 1
LCM of denominators i.e. for 99,20,90,22 is 1980.
Thus, GCF of Fractions is 1/1980.Finally, GCF of Fractions for 88/99, 24/20, 72/90, 75/22 is 1/1980.