Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/40,71/85,670/963
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 31,71,670
Greatest Common Factor of Numerators i.e. GCF of 31,71,670 is 1 .
LCM of Denominators means LCM of 40,85,963 as per the given fractions.
LCM of 40,85,963 is 654840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,71,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
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 31,71,670 . The biggest common factor number is the GCF number.
So the greatest common factor 31,71,670 is 1.
Lets's calculate LCM of 40,85,963
5 | 40, 85, 963 |
8, 17, 963 |
∴ So the LCM of the given numbers is 5 x 8 x 17 x 963 = 654840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654840
Therefore, the GCF of Fractions 31/40,71/85,670/963 is 1/654840
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 40,85,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,85,963) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(40,85,963) x common factors =1 x 5 = 5
LCM(40,85,963) = ( 40 × 85 × 963 ) / 5
LCM(40,85,963) = 3274200 / 5
LCM(40,85,963) = 654840
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 31/40, 71/85, 670/963?
Answer: GCF of Numerators as per given numbers 31/40, 71/85, 670/963 is
GCF of Numerators i.e. for 31,71,670 is 1
LCM of denominators i.e. for 40,85,963 is 654840.
Thus, GCF of Fractions is 1/654840.Finally, GCF of Fractions for 31/40, 71/85, 670/963 is 1/654840.