Highest Common Factor of 769, 485 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 769, 485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 769, 485 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 769, 485 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 769, 485 is 1.

HCF(769, 485) = 1

HCF of 769, 485 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 769, 485 is 1.

Highest Common Factor of 769,485 using Euclid's algorithm

Highest Common Factor of 769,485 is 1

Step 1: Since 769 > 485, we apply the division lemma to 769 and 485, to get

769 = 485 x 1 + 284

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 284 and 485, to get

485 = 284 x 1 + 201

Step 3: We consider the new divisor 284 and the new remainder 201, and apply the division lemma to get

284 = 201 x 1 + 83

We consider the new divisor 201 and the new remainder 83,and apply the division lemma to get

201 = 83 x 2 + 35

We consider the new divisor 83 and the new remainder 35,and apply the division lemma to get

83 = 35 x 2 + 13

We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get

35 = 13 x 2 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 769 and 485 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(83,35) = HCF(201,83) = HCF(284,201) = HCF(485,284) = HCF(769,485) .

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Frequently Asked Questions on HCF of 769, 485 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 769, 485?

Answer: HCF of 769, 485 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 769, 485 using Euclid's Algorithm?

Answer: For arbitrary numbers 769, 485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.