Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/64,670/60,771/799
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 401,670,771
Greatest Common Factor of Numerators i.e. GCF of 401,670,771 is 1 .
LCM of Denominators means LCM of 64,60,799 as per the given fractions.
LCM of 64,60,799 is 767040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,670,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 401,670,771 . The biggest common factor number is the GCF number.
So the greatest common factor 401,670,771 is 1.
Lets's calculate LCM of 64,60,799
2 | 64, 60, 799 |
2 | 32, 30, 799 |
16, 15, 799 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 15 x 799 = 767040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767040
Therefore, the GCF of Fractions 401/64,670/60,771/799 is 1/767040
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 64,60,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,60,799) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,60,799) x common factors =1 x 4 = 4
LCM(64,60,799) = ( 64 × 60 × 799 ) / 4
LCM(64,60,799) = 3068160 / 4
LCM(64,60,799) = 767040
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 401/64, 670/60, 771/799?
Answer: GCF of Numerators as per given numbers 401/64, 670/60, 771/799 is
GCF of Numerators i.e. for 401,670,771 is 1
LCM of denominators i.e. for 64,60,799 is 767040.
Thus, GCF of Fractions is 1/767040.Finally, GCF of Fractions for 401/64, 670/60, 771/799 is 1/767040.