Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/30,565/71,495/945
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 28,565,495
Greatest Common Factor of Numerators i.e. GCF of 28,565,495 is 1 .
LCM of Denominators means LCM of 30,71,945 as per the given fractions.
LCM of 30,71,945 is 134190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,565,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 28,565,495 . The biggest common factor number is the GCF number.
So the greatest common factor 28,565,495 is 1.
Lets's calculate LCM of 30,71,945
3 | 30, 71, 945 |
5 | 10, 71, 315 |
2, 71, 63 |
∴ So the LCM of the given numbers is 3 x 5 x 2 x 71 x 63 = 134190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134190
Therefore, the GCF of Fractions 28/30,565/71,495/945 is 1/134190
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 30,71,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,71,945) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(30,71,945) x common factors =1 x 15 = 15
LCM(30,71,945) = ( 30 × 71 × 945 ) / 15
LCM(30,71,945) = 2012850 / 15
LCM(30,71,945) = 134190
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 28/30, 565/71, 495/945?
Answer: GCF of Numerators as per given numbers 28/30, 565/71, 495/945 is
GCF of Numerators i.e. for 28,565,495 is 1
LCM of denominators i.e. for 30,71,945 is 134190.
Thus, GCF of Fractions is 1/134190.Finally, GCF of Fractions for 28/30, 565/71, 495/945 is 1/134190.