Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/87,28/89,33/297,340/747
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 7,28,33,340
Greatest Common Factor of Numerators i.e. GCF of 7,28,33,340 is 1 .
LCM of Denominators means LCM of 87,89,297,747 as per the given fractions.
LCM of 87,89,297,747 is 63624231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,28,33,340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 7,28,33,340 . The biggest common factor number is the GCF number.
So the greatest common factor 7,28,33,340 is 1.
Lets's calculate LCM of 87,89,297,747
3 | 87, 89, 297, 747 |
3 | 29, 89, 99, 249 |
29, 89, 33, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 89 x 33 x 83 = 63624231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63624231
Therefore, the GCF of Fractions 7/87,28/89,33/297,340/747 is 1/63624231
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 87,89,297,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,89,297,747) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(87,89,297,747) x common factors =1 x 27 = 27
LCM(87,89,297,747) = ( 87 × 89 × 297 × 747 ) / 27
LCM(87,89,297,747) = 1717854237 / 27
LCM(87,89,297,747) = 63624231
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 7/87, 28/89, 33/297, 340/747?
Answer: GCF of Numerators as per given numbers 7/87, 28/89, 33/297, 340/747 is
GCF of Numerators i.e. for 7,28,33,340 is 1
LCM of denominators i.e. for 87,89,297,747 is 63624231.
Thus, GCF of Fractions is 1/63624231.Finally, GCF of Fractions for 7/87, 28/89, 33/297, 340/747 is 1/63624231.