The HCF of 1650 and 847 is 11. The integer value, which divides the numbers 1650 and 847, is the HCF. Simple-to-understand steps are made use of in this article to help students memorise it with ease. The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650, and the factors of 847 are 1, 7, 11, 77, 121, 847. The HCF of the given two numbers can be calculated using prime factorisation, long division and listing common factors.
Also read: Highest common factor
What is the HCF of 1650 and 847?
The answer to this question is 11. The steps followed to get the HCF of 1650 and 847 using methods like listing common factors, prime factorisation and division are given in this article. The HCF of 1650 and 847 is 11, which divides the given numbers exactly.
How to Find HCF of 1650 and 847?
The methods to determine the HCF of 1650 and 847 are as follows:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1650 and 847 by Prime Factorisation Method
The prime factorisation of 1650 and 847 is given by:
1650 = 2 × 3 × 5 × 5 × 11
847 = 7 × 11 × 11
Common prime factor of 1650 and 847 = 11
Therefore, HCF (1650, 847) = 11
HCF of 1650 and 847 by Long Division Method
The HCF of 1650 and 847 can be obtained by dividing the numbers with their prime factors. The divisor 11 we get with zero as the remainder indicates the HCF.
No further division can be done.
Hence, HCF (1650, 847) = 11
HCF of 1650 and 847 by Listing Common Factors
Let us calculate the HCF of 1650 and 847 by listing common factors as given here:
Factors of 1650: 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
Factors of 847: 1, 7, 11, 77, 121, 847
There are 2 common factors of 1650 and 847, and they are 1 and 11.
Therefore, the highest common factor of 1650 and 847 is 11.
Related Articles
- Prime Factorisation Calculator
- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 1650 and 847 Solved Example
Question: Determine the HCF if the LCM of 1650 and 847 is 127050.
Solution:
Given
LCM = 127050
LCM × HCF = 1650 × 847
HCF = (1650 × 847)/127050
HCF = 11
Hence, the HCF is 11.
Frequently Asked Questions on HCF of 1650 and 847
What is the HCF of 1650 and 847?
How can the HCF of 1650 and 847 be found with the help of the long division method?
Which methods can be used to find HCF of 1650 and 847?
If LCM = 127050 and HCF = 11 for two numbers, determine the other number when one number is 847.
Consider y as the other number
Given LCM = 127050 and HCF = 11
HCF × LCM = 847 × y
y = (HCF × LCM)/ 847
y = (11 × 127050)/ 847
y = 1650
Therefore, the other number is 1650.
Show the relation between HCF and LCM of 1650 and 847.
The relation between HCF and LCM of 1650 and 847 is:
HCF × LCM = 1650 × 847
HCF × LCM = 1397550
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