Highest Common Factor of 1773, 6632 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 1773, 6632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1773, 6632 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 1773, 6632 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 1773, 6632 is 1.

HCF(1773, 6632) = 1

HCF of 1773, 6632 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 1773, 6632 is 1.

Highest Common Factor of 1773,6632 using Euclid's algorithm

Highest Common Factor of 1773,6632 is 1

Step 1: Since 6632 > 1773, we apply the division lemma to 6632 and 1773, to get

6632 = 1773 x 3 + 1313

Step 2: Since the reminder 1773 ≠ 0, we apply division lemma to 1313 and 1773, to get

1773 = 1313 x 1 + 460

Step 3: We consider the new divisor 1313 and the new remainder 460, and apply the division lemma to get

1313 = 460 x 2 + 393

We consider the new divisor 460 and the new remainder 393,and apply the division lemma to get

460 = 393 x 1 + 67

We consider the new divisor 393 and the new remainder 67,and apply the division lemma to get

393 = 67 x 5 + 58

We consider the new divisor 67 and the new remainder 58,and apply the division lemma to get

67 = 58 x 1 + 9

We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get

58 = 9 x 6 + 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 1773 and 6632 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(67,58) = HCF(393,67) = HCF(460,393) = HCF(1313,460) = HCF(1773,1313) = HCF(6632,1773) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1773, 6632 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 1773, 6632?

Answer: HCF of 1773, 6632 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1773, 6632 using Euclid's Algorithm?

Answer: For arbitrary numbers 1773, 6632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.