Highest Common Factor of 1181, 3405 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 1181, 3405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1181, 3405 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 1181, 3405 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 1181, 3405 is 1.

HCF(1181, 3405) = 1

HCF of 1181, 3405 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 1181, 3405 is 1.

Highest Common Factor of 1181,3405 using Euclid's algorithm

Highest Common Factor of 1181,3405 is 1

Step 1: Since 3405 > 1181, we apply the division lemma to 3405 and 1181, to get

3405 = 1181 x 2 + 1043

Step 2: Since the reminder 1181 ≠ 0, we apply division lemma to 1043 and 1181, to get

1181 = 1043 x 1 + 138

Step 3: We consider the new divisor 1043 and the new remainder 138, and apply the division lemma to get

1043 = 138 x 7 + 77

We consider the new divisor 138 and the new remainder 77,and apply the division lemma to get

138 = 77 x 1 + 61

We consider the new divisor 77 and the new remainder 61,and apply the division lemma to get

77 = 61 x 1 + 16

We consider the new divisor 61 and the new remainder 16,and apply the division lemma to get

61 = 16 x 3 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 1181 and 3405 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(61,16) = HCF(77,61) = HCF(138,77) = HCF(1043,138) = HCF(1181,1043) = HCF(3405,1181) .

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Frequently Asked Questions on HCF of 1181, 3405 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 1181, 3405?

Answer: HCF of 1181, 3405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1181, 3405 using Euclid's Algorithm?

Answer: For arbitrary numbers 1181, 3405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.