Highest Common Factor of 536, 835, 941 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 536, 835, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 536, 835, 941 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 536, 835, 941 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 536, 835, 941 is 1.

HCF(536, 835, 941) = 1

HCF of 536, 835, 941 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 536, 835, 941 is 1.

Highest Common Factor of 536,835,941 using Euclid's algorithm

Highest Common Factor of 536,835,941 is 1

Step 1: Since 835 > 536, we apply the division lemma to 835 and 536, to get

835 = 536 x 1 + 299

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 299 and 536, to get

536 = 299 x 1 + 237

Step 3: We consider the new divisor 299 and the new remainder 237, and apply the division lemma to get

299 = 237 x 1 + 62

We consider the new divisor 237 and the new remainder 62,and apply the division lemma to get

237 = 62 x 3 + 51

We consider the new divisor 62 and the new remainder 51,and apply the division lemma to get

62 = 51 x 1 + 11

We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get

51 = 11 x 4 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 536 and 835 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(62,51) = HCF(237,62) = HCF(299,237) = HCF(536,299) = HCF(835,536) .

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

Step 1: Since 941 > 1, we apply the division lemma to 941 and 1, to get

941 = 1 x 941 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 941 is 1

Notice that 1 = HCF(941,1) .

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Frequently Asked Questions on HCF of 536, 835, 941 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 536, 835, 941?

Answer: HCF of 536, 835, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 536, 835, 941 using Euclid's Algorithm?

Answer: For arbitrary numbers 536, 835, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.