the HCF of the following 192, 576 and 1760
Answers
Answer:
32
Step-by-step explanation:
prime factors of 192 : 2*2*2*2*2*2*3
prime factors of 576 : 2*2*2*2*2*2*3*3
prime factors of 1760 :2*2*2*2*2*5*11
HCF = product of all common factors
so,
hcf = 2*2*2*2*2
= 32.
Answer:
2
Step-by-step explanation:
Firstly, what is HCF?
HCF is the highest common factor.
To find the highest common factor, you can use the prime factorisation method.
*Note : The highest common factor MUST be a prime number.
Factors of 192 :
Factors 192
2 96
2 48
2 24
2 12
2 6
2 3
3 1
Factors that made up 192 : 2 × 2 × 2 × 2 × 2 × 2 × 3
Factors of 192 : 2 and 3
Factors of 576 :
Factors 576
2 288
2 144
2 72
2 36
2 18
2 9
3 3
3 1
Factors that made up 576 : 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Factors of 576 : 2 and 3
Factors of 1760 :
Factors 1760
2 880
2 440
2 220
2 110
2 55
5 11
11 1
Factors that made up 1760 : 2 × 2 × 2 × 2 × 2 × 5 × 11
Factors of 1760 : 2, 5 and 11
To find the Highest Common Factor ( HCF ) of these three numbers ( 192 , 576 and 1760 ), take the highest factor. The highest factor of these three numbers is bold and underlined.
The Highest Common Factor of 192, 576 and 1760 is 2.