Highest Common Factor of 836, 591, 706 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 836, 591, 706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 836, 591, 706 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 836, 591, 706 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 836, 591, 706 is 1.

HCF(836, 591, 706) = 1

HCF of 836, 591, 706 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 836, 591, 706 is 1.

Highest Common Factor of 836,591,706 using Euclid's algorithm

Highest Common Factor of 836,591,706 is 1

Step 1: Since 836 > 591, we apply the division lemma to 836 and 591, to get

836 = 591 x 1 + 245

Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 245 and 591, to get

591 = 245 x 2 + 101

Step 3: We consider the new divisor 245 and the new remainder 101, and apply the division lemma to get

245 = 101 x 2 + 43

We consider the new divisor 101 and the new remainder 43,and apply the division lemma to get

101 = 43 x 2 + 15

We consider the new divisor 43 and the new remainder 15,and apply the division lemma to get

43 = 15 x 2 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 836 and 591 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(43,15) = HCF(101,43) = HCF(245,101) = HCF(591,245) = HCF(836,591) .

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

Step 1: Since 706 > 1, we apply the division lemma to 706 and 1, to get

706 = 1 x 706 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 706 is 1

Notice that 1 = HCF(706,1) .

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Frequently Asked Questions on HCF of 836, 591, 706 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 836, 591, 706?

Answer: HCF of 836, 591, 706 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 836, 591, 706 using Euclid's Algorithm?

Answer: For arbitrary numbers 836, 591, 706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.