GCF of 9168/188, 4776/1744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9168/188, 4776/1744 i.e 24/81968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9168/188, 4776/1744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9168/188,4776/1744?
Given fractions are 9168/188,4776/1744
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 9168/188,4776/1744, numerators are 9168,4776
Denominators are 188,1744
The GCF of 9168,4776 is 24 .
LCM of 188,1744 is 81968.
The greatest common factor of 9168/188,4776/1744 = [GCF of 9168,4776]/[LCM of 188,1744]= 24/81968
Therefore, the GCF of 9168/188,4776/1744 is 24/81968.
To find the highest common factor of 9168,4776, we have to find the factors of both numbers and list the highest common factor.
The factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168
The factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776
The HCF of 9168,4776 is 24.
Lets's calculate GCF of 9168,4776
| 2 | 9168, 4776 |
| 2 | 4584, 2388 |
| 2 | 2292, 1194 |
| 3 | 1146, 597 |
| 382, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 9168,4776 By Matching Biggest Common Factor Method
Now, list down the factors of 9168
:1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168
Now, list down the factors of 4776
:1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776
Greatest Common Factor
We found the factors 9168,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 9168,4776 is 24.
Lets's calculate LCM of 188,1744
| 2 | 188, 1744 |
| 2 | 94, 872 |
| 47, 436 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 436 = 81968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/81968
Therefore, the GCF of Fractions 9168/188,4776/1744 is 24/81968
Least Common Multiple of 188,1744 with GCF Formula
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 188,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,1744) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,1744) x common factors =4 x 1 = 4
LCM(188,1744) = ( 188 × 1744 ) / 4
LCM(188,1744) = 327872 / 4
LCM(188,1744) = 81968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9168/188, 4776/1744
1. What is the HCF of 9168,4776?
The HCF of 9168,4776 is 24
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 9168/188, 4776/1744?
Answer: GCF of Numerators as per given numbers 9168/188, 4776/1744 is
GCF of Numerators i.e. for 9168,4776 is 24
LCM of denominators i.e. for 188,1744 is 81968.
Thus, GCF of Fractions is 24/81968.Finally, GCF of Fractions for 9168/188, 4776/1744 is 24/81968.