Highest Common Factor of 528, 367, 489 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 528, 367, 489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 528, 367, 489 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 528, 367, 489 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 528, 367, 489 is 1.

HCF(528, 367, 489) = 1

HCF of 528, 367, 489 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 528, 367, 489 is 1.

Highest Common Factor of 528,367,489 using Euclid's algorithm

Highest Common Factor of 528,367,489 is 1

Step 1: Since 528 > 367, we apply the division lemma to 528 and 367, to get

528 = 367 x 1 + 161

Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 161 and 367, to get

367 = 161 x 2 + 45

Step 3: We consider the new divisor 161 and the new remainder 45, and apply the division lemma to get

161 = 45 x 3 + 26

We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get

45 = 26 x 1 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 528 and 367 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(161,45) = HCF(367,161) = HCF(528,367) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 489 > 1, we apply the division lemma to 489 and 1, to get

489 = 1 x 489 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 489 is 1

Notice that 1 = HCF(489,1) .

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Frequently Asked Questions on HCF of 528, 367, 489 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 528, 367, 489?

Answer: HCF of 528, 367, 489 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 528, 367, 489 using Euclid's Algorithm?

Answer: For arbitrary numbers 528, 367, 489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.