Highest Common Factor of 409, 696, 183 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 409, 696, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 409, 696, 183 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 409, 696, 183 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 409, 696, 183 is 1.

HCF(409, 696, 183) = 1

HCF of 409, 696, 183 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 409, 696, 183 is 1.

Highest Common Factor of 409,696,183 using Euclid's algorithm

Highest Common Factor of 409,696,183 is 1

Step 1: Since 696 > 409, we apply the division lemma to 696 and 409, to get

696 = 409 x 1 + 287

Step 2: Since the reminder 409 ≠ 0, we apply division lemma to 287 and 409, to get

409 = 287 x 1 + 122

Step 3: We consider the new divisor 287 and the new remainder 122, and apply the division lemma to get

287 = 122 x 2 + 43

We consider the new divisor 122 and the new remainder 43,and apply the division lemma to get

122 = 43 x 2 + 36

We consider the new divisor 43 and the new remainder 36,and apply the division lemma to get

43 = 36 x 1 + 7

We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get

36 = 7 x 5 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 409 and 696 is 1

Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(43,36) = HCF(122,43) = HCF(287,122) = HCF(409,287) = HCF(696,409) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 183 > 1, we apply the division lemma to 183 and 1, to get

183 = 1 x 183 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 183 is 1

Notice that 1 = HCF(183,1) .

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Frequently Asked Questions on HCF of 409, 696, 183 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 409, 696, 183?

Answer: HCF of 409, 696, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 409, 696, 183 using Euclid's Algorithm?

Answer: For arbitrary numbers 409, 696, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.