Highest Common Factor of 832, 299, 467 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 832, 299, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 299, 467 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 832, 299, 467 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 832, 299, 467 is 1.

HCF(832, 299, 467) = 1

HCF of 832, 299, 467 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 832, 299, 467 is 1.

Highest Common Factor of 832,299,467 using Euclid's algorithm

Highest Common Factor of 832,299,467 is 1

Step 1: Since 832 > 299, we apply the division lemma to 832 and 299, to get

832 = 299 x 2 + 234

Step 2: Since the reminder 299 ≠ 0, we apply division lemma to 234 and 299, to get

299 = 234 x 1 + 65

Step 3: We consider the new divisor 234 and the new remainder 65, and apply the division lemma to get

234 = 65 x 3 + 39

We consider the new divisor 65 and the new remainder 39,and apply the division lemma to get

65 = 39 x 1 + 26

We consider the new divisor 39 and the new remainder 26,and apply the division lemma to get

39 = 26 x 1 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 832 and 299 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(65,39) = HCF(234,65) = HCF(299,234) = HCF(832,299) .

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

Step 1: Since 467 > 13, we apply the division lemma to 467 and 13, to get

467 = 13 x 35 + 12

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 12 and 13, to get

13 = 12 x 1 + 1

Step 3: We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 467 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(467,13) .

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Frequently Asked Questions on HCF of 832, 299, 467 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 832, 299, 467?

Answer: HCF of 832, 299, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 299, 467 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 299, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.