Use our free GCF of Fractions Calculator tool to compute the GCF of 943/33, 887/661 i.e 1/21813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/33, 887/661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/33,887/661
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 943/33,887/661, numerators are 943,887
Denominators are 33,661
The GCF of 943,887 is 1 .
LCM of 33,661 is 21813.
The greatest common factor of 943/33,887/661 = [GCF of 943,887]/[LCM of 33,661]= 1/21813
Therefore, the GCF of 943/33,887/661 is 1/21813.
To find the highest common factor of 943,887, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 887 are 1, 887
The HCF of 943,887 is 1.
Lets's calculate GCF of 943,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 887
:1,887
Greatest Common Factor
We found the factors 943,887 . The biggest common factor number is the GCF number.
So the greatest common factor 943,887 is 1.
Lets's calculate LCM of 33,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 21813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21813
Therefore, the GCF of Fractions 943/33,887/661 is 1/21813
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 33,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,661) x common factors =1 x 1 = 1
LCM(33,661) = ( 33 × 661 ) / 1
LCM(33,661) = 21813 / 1
LCM(33,661) = 21813
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 943,887?
The HCF of 943,887 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 943/33, 887/661?
Answer: GCF of Numerators as per given numbers 943/33, 887/661 is
GCF of Numerators i.e. for 943,887 is 1
LCM of denominators i.e. for 33,661 is 21813.
Thus, GCF of Fractions is 1/21813.Finally, GCF of Fractions for 943/33, 887/661 is 1/21813.