Highest Common Factor of 689, 445, 477 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 689, 445, 477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 689, 445, 477 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 689, 445, 477 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 689, 445, 477 is 1.

HCF(689, 445, 477) = 1

HCF of 689, 445, 477 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 689, 445, 477 is 1.

Highest Common Factor of 689,445,477 using Euclid's algorithm

Highest Common Factor of 689,445,477 is 1

Step 1: Since 689 > 445, we apply the division lemma to 689 and 445, to get

689 = 445 x 1 + 244

Step 2: Since the reminder 445 ≠ 0, we apply division lemma to 244 and 445, to get

445 = 244 x 1 + 201

Step 3: We consider the new divisor 244 and the new remainder 201, and apply the division lemma to get

244 = 201 x 1 + 43

We consider the new divisor 201 and the new remainder 43,and apply the division lemma to get

201 = 43 x 4 + 29

We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get

43 = 29 x 1 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 689 and 445 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(201,43) = HCF(244,201) = HCF(445,244) = HCF(689,445) .

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

Step 1: Since 477 > 1, we apply the division lemma to 477 and 1, to get

477 = 1 x 477 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 477 is 1

Notice that 1 = HCF(477,1) .

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Frequently Asked Questions on HCF of 689, 445, 477 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 689, 445, 477?

Answer: HCF of 689, 445, 477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 689, 445, 477 using Euclid's Algorithm?

Answer: For arbitrary numbers 689, 445, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.