Use our free GCF of Fractions Calculator tool to compute the GCF of 33/77, 700/63, 884/167 i.e 1/115731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/77, 700/63, 884/167.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/77,700/63,884/167
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 33/77,700/63,884/167, numerators are 33,700,884
Denominators are 77,63,167
The GCF of 33,700,884 is 1 .
LCM of 77,63,167 is 115731.
The greatest common factor of 33/77,700/63,884/167 = [GCF of 33,700,884]/[LCM of 77,63,167]= 1/115731
Therefore, the GCF of 33/77,700/63,884/167 is 1/115731.
To find the highest common factor of 33,700,884, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The HCF of 33,700,884 is 1.
Lets's calculate GCF of 33,700,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 33,700,884 . The biggest common factor number is the GCF number.
So the greatest common factor 33,700,884 is 1.
Lets's calculate LCM of 77,63,167
7 | 77, 63, 167 |
11, 9, 167 |
∴ So the LCM of the given numbers is 7 x 11 x 9 x 167 = 115731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115731
Therefore, the GCF of Fractions 33/77,700/63,884/167 is 1/115731
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 77,63,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,63,167) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(77,63,167) x common factors =1 x 7 = 7
LCM(77,63,167) = ( 77 × 63 × 167 ) / 7
LCM(77,63,167) = 810117 / 7
LCM(77,63,167) = 115731
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,700,884?
The HCF of 33,700,884 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 33/77, 700/63, 884/167?
Answer: GCF of Numerators as per given numbers 33/77, 700/63, 884/167 is
GCF of Numerators i.e. for 33,700,884 is 1
LCM of denominators i.e. for 77,63,167 is 115731.
Thus, GCF of Fractions is 1/115731.Finally, GCF of Fractions for 33/77, 700/63, 884/167 is 1/115731.