Highest Common Factor of 675, 4406 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 675, 4406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 675, 4406 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 675, 4406 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 675, 4406 is 1.

HCF(675, 4406) = 1

HCF of 675, 4406 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 675, 4406 is 1.

Highest Common Factor of 675,4406 using Euclid's algorithm

Highest Common Factor of 675,4406 is 1

Step 1: Since 4406 > 675, we apply the division lemma to 4406 and 675, to get

4406 = 675 x 6 + 356

Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 356 and 675, to get

675 = 356 x 1 + 319

Step 3: We consider the new divisor 356 and the new remainder 319, and apply the division lemma to get

356 = 319 x 1 + 37

We consider the new divisor 319 and the new remainder 37,and apply the division lemma to get

319 = 37 x 8 + 23

We consider the new divisor 37 and the new remainder 23,and apply the division lemma to get

37 = 23 x 1 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 675 and 4406 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(37,23) = HCF(319,37) = HCF(356,319) = HCF(675,356) = HCF(4406,675) .

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Frequently Asked Questions on HCF of 675, 4406 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 675, 4406?

Answer: HCF of 675, 4406 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 675, 4406 using Euclid's Algorithm?

Answer: For arbitrary numbers 675, 4406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.