The HCF of 210 and 55 is 5. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 210 and 55. The highest possible number that divides 210 and 55 perfectly without any remainder is the HCF of 210 and 55. The factors of 210 and 55 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, and 1, 5, 11, 55, respectively.
Also read: Highest common factor
What is the HCF of 210 and 55?
The answer to this question is 5. This article shows how to find the HCF of 210 and 55 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 210 and 55?
There are three methods to find the HCF of 210 and 55:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 210 and 55 by Prime Factorisation Method
The prime factorisation of 210 and 55 is given by:
Prime factorisation of 210 = (2 × 3 × 5 × 7)
Prime factorisation of 55 = (5 × 11)
The only common prime factor of 210 and 55 is 5.
Hence, the HCF of 210 and 55 is 5.
HCF (210, 55) = 5
HCF of 210 and 55 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is the HCF of 210 and 55.
No further division can be done.
Hence, HCF (210, 55) = 5
HCF of 210 and 55 by Listing Common Factors
To calculate the HCF of 210 and 55 by listing out the common factors, list the factors as shown below:
Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Factors of 55: 1, 5, 11, 55
The numbers 1 and 5 are common factors of the numbers 210 and 55. Hence, the highest common factor of 210 and 55 is 5.
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Video Lesson on Properties of HCF and LCM
HCF of 210 and 55 Solved Example
Question: Find the HCF of 210 and 55, if their LCM is 2310.
Solution:
Given
LCM × HCF = 210 × 55
⇒ HCF(210, 55) = (210 × 55)/2310 = 5
HCF(210, 55) = 11550/2310 = 5
Therefore, the highest common factor of 210 and 55 is 5.
Frequently Asked Questions on HCF of 210 and 55
What is the HCF of 210 and 55?
If the HCF of 55 and 210 is 5, find its LCM.
Since the HCF of 55 and 210 = 5
⇒ 5 × LCM(55, 210) = 11550
LCM(55, 210) = 11550/5 = 2310
Therefore, LCM = 2310
What are the methods to find the HCF of 210 and 55?
By Long Division
By Listing Common Factors
By Prime Factorisation
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