Express the HCF of 468 and 222 as 468x + 222y where x and y are integers.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

To find: HCF of 468 and 222 as 468x + 222y where x and y are integers.

First find the prime factors of 468 and 222 which are as follows

468 = 2 × 2 × 3 × 3 × 13

222 = 2 × 3 × 37

So, the HCF of 468 and 222 is 2 × 3 = 6.

Now, express HCF of 468 and 222 as 468x + 222y

6 = 222 – (24 × 9)

6 = 222 – [(468 – 222 × 2) × 9]

6 = 222 – (468 × 9 – 222 × 18)

6 = 222 + (222 × 18) – (468 × 9)

6 = 222(1 + 18) – 468 × 9

6 = 222 × 19 – 468 × 9

6 = 468 × (-9) + 222 × 19 (equation 1)

Now on comparing the (equation 1) with (6 = 468x + 222y) we will get,

x = -9 and y = 19

Hence, HCF of 468 and 222 is 6, for the values of x and y that are -9 and 19 respectively.

Table of content

1. HCF of 468 and 222 as 468x + 222y where x and y are Integers
2. Express the HCF of 468 and 222 as 468x + 222y where x and y are integers.

HCF of 468 and 222 as 468x + 222y where x and y are Integers

As discussed above, the HCF of 468 and 222 as 468x + 222y where x and y are Integers is 6. The highest (or greatest) common factor between two or more given numbers is known as the highest common factor (HCF).

The HCF of two numbers can be calculated in a variety of ways. Using the prime factorization technique is one of the quickest ways to determine the HCF of two or more numbers.
Go through the various aspects and properties of HCF to learn more about it.
Learn the answers to questions like what is the highest common factor for a set of numbers, how to calculate HCF quickly, how to calculate HCF using the division method, how HCF relates to LCM, and other intriguing information about them.

Summary: