Highest Common Factor of 529, 832 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 529, 832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 529, 832 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 529, 832 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 529, 832 is 1.

HCF(529, 832) = 1

HCF of 529, 832 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 529, 832 is 1.

Highest Common Factor of 529,832 using Euclid's algorithm

Highest Common Factor of 529,832 is 1

Step 1: Since 832 > 529, we apply the division lemma to 832 and 529, to get

832 = 529 x 1 + 303

Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 303 and 529, to get

529 = 303 x 1 + 226

Step 3: We consider the new divisor 303 and the new remainder 226, and apply the division lemma to get

303 = 226 x 1 + 77

We consider the new divisor 226 and the new remainder 77,and apply the division lemma to get

226 = 77 x 2 + 72

We consider the new divisor 77 and the new remainder 72,and apply the division lemma to get

77 = 72 x 1 + 5

We consider the new divisor 72 and the new remainder 5,and apply the division lemma to get

72 = 5 x 14 + 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 529 and 832 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(72,5) = HCF(77,72) = HCF(226,77) = HCF(303,226) = HCF(529,303) = HCF(832,529) .

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Frequently Asked Questions on HCF of 529, 832 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 529, 832?

Answer: HCF of 529, 832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 529, 832 using Euclid's Algorithm?

Answer: For arbitrary numbers 529, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.