Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/80,60/92,95/70,54/588
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 27,60,95,54
Greatest Common Factor of Numerators i.e. GCF of 27,60,95,54 is 1 .
LCM of Denominators means LCM of 80,92,70,588 as per the given fractions.
LCM of 80,92,70,588 is 270480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,60,95,54
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 27,60,95,54 . The biggest common factor number is the GCF number.
So the greatest common factor 27,60,95,54 is 1.
Lets's calculate LCM of 80,92,70,588
2 | 80, 92, 70, 588 |
2 | 40, 46, 35, 294 |
5 | 20, 23, 35, 147 |
7 | 4, 23, 7, 147 |
4, 23, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 4 x 23 x 1 x 21 = 270480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270480
Therefore, the GCF of Fractions 27/80,60/92,95/70,54/588 is 1/270480
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 80,92,70,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,92,70,588) = 2
common factors(in case of two or more numbers have common factors) = 560
GCF(80,92,70,588) x common factors =2 x 560 = 1120
LCM(80,92,70,588) = ( 80 × 92 × 70 × 588 ) / 1120
LCM(80,92,70,588) = 302937600 / 1120
LCM(80,92,70,588) = 270480
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 27/80, 60/92, 95/70, 54/588?
Answer: GCF of Numerators as per given numbers 27/80, 60/92, 95/70, 54/588 is
GCF of Numerators i.e. for 27,60,95,54 is 1
LCM of denominators i.e. for 80,92,70,588 is 270480.
Thus, GCF of Fractions is 1/270480.Finally, GCF of Fractions for 27/80, 60/92, 95/70, 54/588 is 1/270480.