GCF of 1152/128, 2272/4378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1152/128, 2272/4378 i.e 32/280192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1152/128, 2272/4378.
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 1152/128,2272/4378?
Given fractions are 1152/128,2272/4378
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 1152/128,2272/4378, numerators are 1152,2272
Denominators are 128,4378
The GCF of 1152,2272 is 32 .
LCM of 128,4378 is 280192.
The greatest common factor of 1152/128,2272/4378 = [GCF of 1152,2272]/[LCM of 128,4378]= 32/280192
Therefore, the GCF of 1152/128,2272/4378 is 32/280192.
To find the highest common factor of 1152,2272, we have to find the factors of both numbers and list the highest common factor.
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272
The HCF of 1152,2272 is 32.
Lets's calculate GCF of 1152,2272
| 2 | 1152, 2272 |
| 2 | 576, 1136 |
| 2 | 288, 568 |
| 2 | 144, 284 |
| 2 | 72, 142 |
| 36, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 1152,2272 By Matching Biggest Common Factor Method
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Now, list down the factors of 2272
:1,2,4,8,16,32,71,142,284,568,1136,2272
Greatest Common Factor
We found the factors 1152,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 1152,2272 is 32.
Lets's calculate LCM of 128,4378
| 2 | 128, 4378 |
| 64, 2189 |
∴ So the LCM of the given numbers is 2 x 64 x 2189 = 280192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/280192
Therefore, the GCF of Fractions 1152/128,2272/4378 is 32/280192
Least Common Multiple of 128,4378 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 128,4378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,4378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,4378) x common factors =2 x 1 = 2
LCM(128,4378) = ( 128 × 4378 ) / 2
LCM(128,4378) = 560384 / 2
LCM(128,4378) = 280192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1152/128, 2272/4378
1. What is the HCF of 1152,2272?
The HCF of 1152,2272 is 32
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 1152/128, 2272/4378?
Answer: GCF of Numerators as per given numbers 1152/128, 2272/4378 is
GCF of Numerators i.e. for 1152,2272 is 32
LCM of denominators i.e. for 128,4378 is 280192.
Thus, GCF of Fractions is 32/280192.Finally, GCF of Fractions for 1152/128, 2272/4378 is 32/280192.