Highest Common Factor of 512, 835, 526 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 512, 835, 526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 512, 835, 526 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 512, 835, 526 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 512, 835, 526 is 1.

HCF(512, 835, 526) = 1

HCF of 512, 835, 526 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 512, 835, 526 is 1.

Highest Common Factor of 512,835,526 using Euclid's algorithm

Highest Common Factor of 512,835,526 is 1

Step 1: Since 835 > 512, we apply the division lemma to 835 and 512, to get

835 = 512 x 1 + 323

Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 323 and 512, to get

512 = 323 x 1 + 189

Step 3: We consider the new divisor 323 and the new remainder 189, and apply the division lemma to get

323 = 189 x 1 + 134

We consider the new divisor 189 and the new remainder 134,and apply the division lemma to get

189 = 134 x 1 + 55

We consider the new divisor 134 and the new remainder 55,and apply the division lemma to get

134 = 55 x 2 + 24

We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get

55 = 24 x 2 + 7

We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get

24 = 7 x 3 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 512 and 835 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(134,55) = HCF(189,134) = HCF(323,189) = HCF(512,323) = HCF(835,512) .

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

Step 1: Since 526 > 1, we apply the division lemma to 526 and 1, to get

526 = 1 x 526 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 526 is 1

Notice that 1 = HCF(526,1) .

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Frequently Asked Questions on HCF of 512, 835, 526 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 512, 835, 526?

Answer: HCF of 512, 835, 526 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 512, 835, 526 using Euclid's Algorithm?

Answer: For arbitrary numbers 512, 835, 526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.