Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/64,93/80,15/806,672/199
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 9,93,15,672
Greatest Common Factor of Numerators i.e. GCF of 9,93,15,672 is 3 .
LCM of Denominators means LCM of 64,80,806,199 as per the given fractions.
LCM of 64,80,806,199 is 25663040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,93,15,672
3 | 9, 93, 15, 672 |
3, 31, 5, 224 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 9,93,15,672 . The biggest common factor number is the GCF number.
So the greatest common factor 9,93,15,672 is 3.
Lets's calculate LCM of 64,80,806,199
2 | 64, 80, 806, 199 |
2 | 32, 40, 403, 199 |
2 | 16, 20, 403, 199 |
2 | 8, 10, 403, 199 |
4, 5, 403, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 5 x 403 x 199 = 25663040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25663040
Therefore, the GCF of Fractions 9/64,93/80,15/806,672/199 is 3/25663040
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 64,80,806,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,80,806,199) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(64,80,806,199) x common factors =1 x 32 = 32
LCM(64,80,806,199) = ( 64 × 80 × 806 × 199 ) / 32
LCM(64,80,806,199) = 821217280 / 32
LCM(64,80,806,199) = 25663040
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 9/64, 93/80, 15/806, 672/199?
Answer: GCF of Numerators as per given numbers 9/64, 93/80, 15/806, 672/199 is
GCF of Numerators i.e. for 9,93,15,672 is 3
LCM of denominators i.e. for 64,80,806,199 is 25663040.
Thus, GCF of Fractions is 3/25663040.Finally, GCF of Fractions for 9/64, 93/80, 15/806, 672/199 is 3/25663040.