Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 785/66,329/11,576/70
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 785,329,576
Greatest Common Factor of Numerators i.e. GCF of 785,329,576 is 1 .
LCM of Denominators means LCM of 66,11,70 as per the given fractions.
LCM of 66,11,70 is 2310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 785,329,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 785,329,576 . The biggest common factor number is the GCF number.
So the greatest common factor 785,329,576 is 1.
Lets's calculate LCM of 66,11,70
2 | 66, 11, 70 |
11 | 33, 11, 35 |
3, 1, 35 |
∴ So the LCM of the given numbers is 2 x 11 x 3 x 1 x 35 = 2310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310
Therefore, the GCF of Fractions 785/66,329/11,576/70 is 1/2310
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 66,11,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,11,70) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(66,11,70) x common factors =1 x 22 = 22
LCM(66,11,70) = ( 66 × 11 × 70 ) / 22
LCM(66,11,70) = 50820 / 22
LCM(66,11,70) = 2310
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 785/66, 329/11, 576/70?
Answer: GCF of Numerators as per given numbers 785/66, 329/11, 576/70 is
GCF of Numerators i.e. for 785,329,576 is 1
LCM of denominators i.e. for 66,11,70 is 2310.
Thus, GCF of Fractions is 1/2310.Finally, GCF of Fractions for 785/66, 329/11, 576/70 is 1/2310.