Highest Common Factor of 1182, 5405 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 1182, 5405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1182, 5405 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 1182, 5405 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 1182, 5405 is 1.

HCF(1182, 5405) = 1

HCF of 1182, 5405 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 1182, 5405 is 1.

Highest Common Factor of 1182,5405 using Euclid's algorithm

Highest Common Factor of 1182,5405 is 1

Step 1: Since 5405 > 1182, we apply the division lemma to 5405 and 1182, to get

5405 = 1182 x 4 + 677

Step 2: Since the reminder 1182 ≠ 0, we apply division lemma to 677 and 1182, to get

1182 = 677 x 1 + 505

Step 3: We consider the new divisor 677 and the new remainder 505, and apply the division lemma to get

677 = 505 x 1 + 172

We consider the new divisor 505 and the new remainder 172,and apply the division lemma to get

505 = 172 x 2 + 161

We consider the new divisor 172 and the new remainder 161,and apply the division lemma to get

172 = 161 x 1 + 11

We consider the new divisor 161 and the new remainder 11,and apply the division lemma to get

161 = 11 x 14 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1182 and 5405 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(161,11) = HCF(172,161) = HCF(505,172) = HCF(677,505) = HCF(1182,677) = HCF(5405,1182) .

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Frequently Asked Questions on HCF of 1182, 5405 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 1182, 5405?

Answer: HCF of 1182, 5405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1182, 5405 using Euclid's Algorithm?

Answer: For arbitrary numbers 1182, 5405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.