Highest Common Factor of 768, 469, 836 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 768, 469, 836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 768, 469, 836 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 768, 469, 836 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 768, 469, 836 is 1.

HCF(768, 469, 836) = 1

HCF of 768, 469, 836 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 768, 469, 836 is 1.

Highest Common Factor of 768,469,836 using Euclid's algorithm

Highest Common Factor of 768,469,836 is 1

Step 1: Since 768 > 469, we apply the division lemma to 768 and 469, to get

768 = 469 x 1 + 299

Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 299 and 469, to get

469 = 299 x 1 + 170

Step 3: We consider the new divisor 299 and the new remainder 170, and apply the division lemma to get

299 = 170 x 1 + 129

We consider the new divisor 170 and the new remainder 129,and apply the division lemma to get

170 = 129 x 1 + 41

We consider the new divisor 129 and the new remainder 41,and apply the division lemma to get

129 = 41 x 3 + 6

We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get

41 = 6 x 6 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 768 and 469 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(129,41) = HCF(170,129) = HCF(299,170) = HCF(469,299) = HCF(768,469) .

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

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

836 = 1 x 836 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1

Notice that 1 = HCF(836,1) .

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Frequently Asked Questions on HCF of 768, 469, 836 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 768, 469, 836?

Answer: HCF of 768, 469, 836 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 768, 469, 836 using Euclid's Algorithm?

Answer: For arbitrary numbers 768, 469, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.