Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/28,71/96,99/43,630/64
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 96,71,99,630
Greatest Common Factor of Numerators i.e. GCF of 96,71,99,630 is 1 .
LCM of Denominators means LCM of 28,96,43,64 as per the given fractions.
LCM of 28,96,43,64 is 57792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,71,99,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 96,71,99,630 . The biggest common factor number is the GCF number.
So the greatest common factor 96,71,99,630 is 1.
Lets's calculate LCM of 28,96,43,64
2 | 28, 96, 43, 64 |
2 | 14, 48, 43, 32 |
2 | 7, 24, 43, 16 |
2 | 7, 12, 43, 8 |
2 | 7, 6, 43, 4 |
7, 3, 43, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 3 x 43 x 2 = 57792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57792
Therefore, the GCF of Fractions 96/28,71/96,99/43,630/64 is 1/57792
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 28,96,43,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,96,43,64) = 1
common factors(in case of two or more numbers have common factors) = 128
GCF(28,96,43,64) x common factors =1 x 128 = 128
LCM(28,96,43,64) = ( 28 × 96 × 43 × 64 ) / 128
LCM(28,96,43,64) = 7397376 / 128
LCM(28,96,43,64) = 57792
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 96/28, 71/96, 99/43, 630/64?
Answer: GCF of Numerators as per given numbers 96/28, 71/96, 99/43, 630/64 is
GCF of Numerators i.e. for 96,71,99,630 is 1
LCM of denominators i.e. for 28,96,43,64 is 57792.
Thus, GCF of Fractions is 1/57792.Finally, GCF of Fractions for 96/28, 71/96, 99/43, 630/64 is 1/57792.