Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/75,39/28,88/69,130/85
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 22,39,88,130
Greatest Common Factor of Numerators i.e. GCF of 22,39,88,130 is 1 .
LCM of Denominators means LCM of 75,28,69,85 as per the given fractions.
LCM of 75,28,69,85 is 821100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,39,88,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
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 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 22,39,88,130 . The biggest common factor number is the GCF number.
So the greatest common factor 22,39,88,130 is 1.
Lets's calculate LCM of 75,28,69,85
3 | 75, 28, 69, 85 |
5 | 25, 28, 23, 85 |
5, 28, 23, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 28 x 23 x 17 = 821100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821100
Therefore, the GCF of Fractions 22/75,39/28,88/69,130/85 is 1/821100
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 75,28,69,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,28,69,85) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(75,28,69,85) x common factors =1 x 15 = 15
LCM(75,28,69,85) = ( 75 × 28 × 69 × 85 ) / 15
LCM(75,28,69,85) = 12316500 / 15
LCM(75,28,69,85) = 821100
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 22/75, 39/28, 88/69, 130/85?
Answer: GCF of Numerators as per given numbers 22/75, 39/28, 88/69, 130/85 is
GCF of Numerators i.e. for 22,39,88,130 is 1
LCM of denominators i.e. for 75,28,69,85 is 821100.
Thus, GCF of Fractions is 1/821100.Finally, GCF of Fractions for 22/75, 39/28, 88/69, 130/85 is 1/821100.