Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 712/586,343/973,670/158
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 712,343,670
Greatest Common Factor of Numerators i.e. GCF of 712,343,670 is 1 .
LCM of Denominators means LCM of 586,973,158 as per the given fractions.
LCM of 586,973,158 is 45044062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 712,343,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 712,343,670 . The biggest common factor number is the GCF number.
So the greatest common factor 712,343,670 is 1.
Lets's calculate LCM of 586,973,158
2 | 586, 973, 158 |
293, 973, 79 |
∴ So the LCM of the given numbers is 2 x 293 x 973 x 79 = 45044062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45044062
Therefore, the GCF of Fractions 712/586,343/973,670/158 is 1/45044062
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 586,973,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,973,158) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(586,973,158) x common factors =1 x 2 = 2
LCM(586,973,158) = ( 586 × 973 × 158 ) / 2
LCM(586,973,158) = 90088124 / 2
LCM(586,973,158) = 45044062
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 712/586, 343/973, 670/158?
Answer: GCF of Numerators as per given numbers 712/586, 343/973, 670/158 is
GCF of Numerators i.e. for 712,343,670 is 1
LCM of denominators i.e. for 586,973,158 is 45044062.
Thus, GCF of Fractions is 1/45044062.Finally, GCF of Fractions for 712/586, 343/973, 670/158 is 1/45044062.