GCF of 28/65, 192/34, 640/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/65, 192/34, 640/552 i.e 4/609960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/65, 192/34, 640/552.
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 28/65,192/34,640/552?
Given fractions are 28/65,192/34,640/552
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 28/65,192/34,640/552, numerators are 28,192,640
Denominators are 65,34,552
The GCF of 28,192,640 is 4 .
LCM of 65,34,552 is 609960.
The greatest common factor of 28/65,192/34,640/552 = [GCF of 28,192,640]/[LCM of 65,34,552]= 4/609960
Therefore, the GCF of 28/65,192/34,640/552 is 4/609960.
To find the highest common factor of 28,192,640, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The HCF of 28,192,640 is 4.
Lets's calculate GCF of 28,192,640
| 2 | 28, 192, 640 |
| 2 | 14, 96, 320 |
| 7, 48, 160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 28,192,640 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 28,192,640 . The biggest common factor number is the GCF number.
So the greatest common factor 28,192,640 is 4.
Lets's calculate LCM of 65,34,552
| 2 | 65, 34, 552 |
| 65, 17, 276 |
∴ So the LCM of the given numbers is 2 x 65 x 17 x 276 = 609960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/609960
Therefore, the GCF of Fractions 28/65,192/34,640/552 is 4/609960
Least Common Multiple of 65,34,552 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 65,34,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,34,552) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,34,552) x common factors =1 x 2 = 2
LCM(65,34,552) = ( 65 × 34 × 552 ) / 2
LCM(65,34,552) = 1219920 / 2
LCM(65,34,552) = 609960
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FAQs on GCF of Fractions of 28/65, 192/34, 640/552
1. What is the HCF of 28,192,640?
The HCF of 28,192,640 is 4
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 28/65, 192/34, 640/552?
Answer: GCF of Numerators as per given numbers 28/65, 192/34, 640/552 is
GCF of Numerators i.e. for 28,192,640 is 4
LCM of denominators i.e. for 65,34,552 is 609960.
Thus, GCF of Fractions is 4/609960.Finally, GCF of Fractions for 28/65, 192/34, 640/552 is 4/609960.