Highest Common Factor of 836, 484, 717 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, 484, 717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 836, 484, 717 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, 484, 717 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, 484, 717 is 1.

HCF(836, 484, 717) = 1

HCF of 836, 484, 717 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, 484, 717 is 1.

Highest Common Factor of 836,484,717 using Euclid's algorithm

Highest Common Factor of 836,484,717 is 1

Step 1: Since 836 > 484, we apply the division lemma to 836 and 484, to get

836 = 484 x 1 + 352

Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 352 and 484, to get

484 = 352 x 1 + 132

Step 3: We consider the new divisor 352 and the new remainder 132, and apply the division lemma to get

352 = 132 x 2 + 88

We consider the new divisor 132 and the new remainder 88,and apply the division lemma to get

132 = 88 x 1 + 44

We consider the new divisor 88 and the new remainder 44,and apply the division lemma to get

88 = 44 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 836 and 484 is 44

Notice that 44 = HCF(88,44) = HCF(132,88) = HCF(352,132) = HCF(484,352) = HCF(836,484) .

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

Step 1: Since 717 > 44, we apply the division lemma to 717 and 44, to get

717 = 44 x 16 + 13

Step 2: Since the reminder 44 ≠ 0, we apply division lemma to 13 and 44, to get

44 = 13 x 3 + 5

Step 3: We consider the new divisor 13 and the new remainder 5, and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 44 and 717 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(717,44) .

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Frequently Asked Questions on HCF of 836, 484, 717 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, 484, 717?

Answer: HCF of 836, 484, 717 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 836, 484, 717 using Euclid's Algorithm?

Answer: For arbitrary numbers 836, 484, 717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.