Highest Common Factor of 835, 524 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 835, 524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 524 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 835, 524 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 835, 524 is 1.

HCF(835, 524) = 1

HCF of 835, 524 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 835, 524 is 1.

Highest Common Factor of 835,524 using Euclid's algorithm

Highest Common Factor of 835,524 is 1

Step 1: Since 835 > 524, we apply the division lemma to 835 and 524, to get

835 = 524 x 1 + 311

Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 311 and 524, to get

524 = 311 x 1 + 213

Step 3: We consider the new divisor 311 and the new remainder 213, and apply the division lemma to get

311 = 213 x 1 + 98

We consider the new divisor 213 and the new remainder 98,and apply the division lemma to get

213 = 98 x 2 + 17

We consider the new divisor 98 and the new remainder 17,and apply the division lemma to get

98 = 17 x 5 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 524 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(98,17) = HCF(213,98) = HCF(311,213) = HCF(524,311) = HCF(835,524) .

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Frequently Asked Questions on HCF of 835, 524 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 835, 524?

Answer: HCF of 835, 524 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 524 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.