Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 704/86,749/82,785/360
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 704,749,785
Greatest Common Factor of Numerators i.e. GCF of 704,749,785 is 1 .
LCM of Denominators means LCM of 86,82,360 as per the given fractions.
LCM of 86,82,360 is 634680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 704,749,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 704,749,785 . The biggest common factor number is the GCF number.
So the greatest common factor 704,749,785 is 1.
Lets's calculate LCM of 86,82,360
2 | 86, 82, 360 |
43, 41, 180 |
∴ So the LCM of the given numbers is 2 x 43 x 41 x 180 = 634680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634680
Therefore, the GCF of Fractions 704/86,749/82,785/360 is 1/634680
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 86,82,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,82,360) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,82,360) x common factors =2 x 2 = 4
LCM(86,82,360) = ( 86 × 82 × 360 ) / 4
LCM(86,82,360) = 2538720 / 4
LCM(86,82,360) = 634680
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 704/86, 749/82, 785/360?
Answer: GCF of Numerators as per given numbers 704/86, 749/82, 785/360 is
GCF of Numerators i.e. for 704,749,785 is 1
LCM of denominators i.e. for 86,82,360 is 634680.
Thus, GCF of Fractions is 1/634680.Finally, GCF of Fractions for 704/86, 749/82, 785/360 is 1/634680.