HCF of 210 and 55

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.

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.

Related Articles

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

Q1

What is the HCF of 210 and 55?

The HCF of 210 and 55 is 5. To calculate the HCF of 210 and 55, we need to factor each number (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) and choose the highest factor that exactly divides both 210 and 55, i.e. 5.
Q2

If the HCF of 55 and 210 is 5, find its LCM.

HCF(55, 210) × LCM(55, 210) = 55 × 210
Since the HCF of 55 and 210 = 5
⇒ 5 × LCM(55, 210) = 11550
LCM(55, 210) = 11550/5 = 2310
Therefore, LCM = 2310
Q3

What are the methods to find the HCF of 210 and 55?

There are three commonly used methods to find the HCF of 210 and 55:
By Long Division
By Listing Common Factors
By Prime Factorisation
Q4

What is the relation between LCM and HCF of 210, 55?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 210 and 55, i.e. HCF × LCM = 210 × 55 = 11550.
Q5

How to find the HCF of 210 and 55 by Long Division Method?

To find the HCF of 210, 55 using the long division method, 210 is divided by 55. The corresponding divisor (5) when remainder equals 0 is taken as HCF.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*