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

By Mandeep Kumar|Updated : May 24th, 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.

## 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.
• 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:

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

6 is the HCF of 468 and 222 as 468x + 222y where x and y are integers. HCF can be determined by finding the prime factors of 468 and 222. After finding the HCF, express it as 468x + 222y.

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