Highest Common Factor of 665, 439 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 665, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 665, 439 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 665, 439 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 665, 439 is 1.

HCF(665, 439) = 1

HCF of 665, 439 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 665, 439 is 1.

Highest Common Factor of 665,439 using Euclid's algorithm

Highest Common Factor of 665,439 is 1

Step 1: Since 665 > 439, we apply the division lemma to 665 and 439, to get

665 = 439 x 1 + 226

Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 226 and 439, to get

439 = 226 x 1 + 213

Step 3: We consider the new divisor 226 and the new remainder 213, and apply the division lemma to get

226 = 213 x 1 + 13

We consider the new divisor 213 and the new remainder 13,and apply the division lemma to get

213 = 13 x 16 + 5

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 665 and 439 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(213,13) = HCF(226,213) = HCF(439,226) = HCF(665,439) .

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Frequently Asked Questions on HCF of 665, 439 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 665, 439?

Answer: HCF of 665, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 665, 439 using Euclid's Algorithm?

Answer: For arbitrary numbers 665, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.