Highest Common Factor of 489, 842, 152 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 489, 842, 152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 489, 842, 152 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 489, 842, 152 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 489, 842, 152 is 1.

HCF(489, 842, 152) = 1

HCF of 489, 842, 152 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 489, 842, 152 is 1.

Highest Common Factor of 489,842,152 using Euclid's algorithm

Highest Common Factor of 489,842,152 is 1

Step 1: Since 842 > 489, we apply the division lemma to 842 and 489, to get

842 = 489 x 1 + 353

Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 353 and 489, to get

489 = 353 x 1 + 136

Step 3: We consider the new divisor 353 and the new remainder 136, and apply the division lemma to get

353 = 136 x 2 + 81

We consider the new divisor 136 and the new remainder 81,and apply the division lemma to get

136 = 81 x 1 + 55

We consider the new divisor 81 and the new remainder 55,and apply the division lemma to get

81 = 55 x 1 + 26

We consider the new divisor 55 and the new remainder 26,and apply the division lemma to get

55 = 26 x 2 + 3

We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get

26 = 3 x 8 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 489 and 842 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(55,26) = HCF(81,55) = HCF(136,81) = HCF(353,136) = HCF(489,353) = HCF(842,489) .

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

Step 1: Since 152 > 1, we apply the division lemma to 152 and 1, to get

152 = 1 x 152 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 152 is 1

Notice that 1 = HCF(152,1) .

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Frequently Asked Questions on HCF of 489, 842, 152 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 489, 842, 152?

Answer: HCF of 489, 842, 152 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 489, 842, 152 using Euclid's Algorithm?

Answer: For arbitrary numbers 489, 842, 152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.