Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/90,28/35,44/56,30/500
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 71,28,44,30
Greatest Common Factor of Numerators i.e. GCF of 71,28,44,30 is 1 .
LCM of Denominators means LCM of 90,35,56,500 as per the given fractions.
LCM of 90,35,56,500 is 63000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,28,44,30
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 71,28,44,30 . The biggest common factor number is the GCF number.
So the greatest common factor 71,28,44,30 is 1.
Lets's calculate LCM of 90,35,56,500
2 | 90, 35, 56, 500 |
2 | 45, 35, 28, 250 |
5 | 45, 35, 14, 125 |
7 | 9, 7, 14, 25 |
9, 1, 2, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 9 x 1 x 2 x 25 = 63000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63000
Therefore, the GCF of Fractions 71/90,28/35,44/56,30/500 is 1/63000
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 90,35,56,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,35,56,500) = 1
common factors(in case of two or more numbers have common factors) = 1400
GCF(90,35,56,500) x common factors =1 x 1400 = 1400
LCM(90,35,56,500) = ( 90 × 35 × 56 × 500 ) / 1400
LCM(90,35,56,500) = 88200000 / 1400
LCM(90,35,56,500) = 63000
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 71/90, 28/35, 44/56, 30/500?
Answer: GCF of Numerators as per given numbers 71/90, 28/35, 44/56, 30/500 is
GCF of Numerators i.e. for 71,28,44,30 is 1
LCM of denominators i.e. for 90,35,56,500 is 63000.
Thus, GCF of Fractions is 1/63000.Finally, GCF of Fractions for 71/90, 28/35, 44/56, 30/500 is 1/63000.