Use our free GCF of Fractions Calculator tool to compute the GCF of 66/905, 23/772, 356/669 i.e 1/467403540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/905, 23/772, 356/669.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/905,23/772,356/669
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 66/905,23/772,356/669, numerators are 66,23,356
Denominators are 905,772,669
The GCF of 66,23,356 is 1 .
LCM of 905,772,669 is 467403540.
The greatest common factor of 66/905,23/772,356/669 = [GCF of 66,23,356]/[LCM of 905,772,669]= 1/467403540
Therefore, the GCF of 66/905,23/772,356/669 is 1/467403540.
To find the highest common factor of 66,23,356, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 23 are 1, 23
The factors of 356 are 1, 2, 4, 89, 178, 356
The HCF of 66,23,356 is 1.
Lets's calculate GCF of 66,23,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 23
:1,23
Now, list down the factors of 356
:1,2,4,89,178,356
Greatest Common Factor
We found the factors 66,23,356 . The biggest common factor number is the GCF number.
So the greatest common factor 66,23,356 is 1.
Lets's calculate LCM of 905,772,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 467403540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467403540
Therefore, the GCF of Fractions 66/905,23/772,356/669 is 1/467403540
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 905,772,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,772,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,772,669) x common factors =1 x 1 = 1
LCM(905,772,669) = ( 905 × 772 × 669 ) / 1
LCM(905,772,669) = 467403540 / 1
LCM(905,772,669) = 467403540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,23,356?
The HCF of 66,23,356 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 66/905, 23/772, 356/669?
Answer: GCF of Numerators as per given numbers 66/905, 23/772, 356/669 is
GCF of Numerators i.e. for 66,23,356 is 1
LCM of denominators i.e. for 905,772,669 is 467403540.
Thus, GCF of Fractions is 1/467403540.Finally, GCF of Fractions for 66/905, 23/772, 356/669 is 1/467403540.