Highest Common Factor of 408, 7183 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 408, 7183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 408, 7183 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 408, 7183 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 408, 7183 is 1.

HCF(408, 7183) = 1

HCF of 408, 7183 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 408, 7183 is 1.

Highest Common Factor of 408,7183 using Euclid's algorithm

Highest Common Factor of 408,7183 is 1

Step 1: Since 7183 > 408, we apply the division lemma to 7183 and 408, to get

7183 = 408 x 17 + 247

Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 247 and 408, to get

408 = 247 x 1 + 161

Step 3: We consider the new divisor 247 and the new remainder 161, and apply the division lemma to get

247 = 161 x 1 + 86

We consider the new divisor 161 and the new remainder 86,and apply the division lemma to get

161 = 86 x 1 + 75

We consider the new divisor 86 and the new remainder 75,and apply the division lemma to get

86 = 75 x 1 + 11

We consider the new divisor 75 and the new remainder 11,and apply the division lemma to get

75 = 11 x 6 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 408 and 7183 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(75,11) = HCF(86,75) = HCF(161,86) = HCF(247,161) = HCF(408,247) = HCF(7183,408) .

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Frequently Asked Questions on HCF of 408, 7183 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 408, 7183?

Answer: HCF of 408, 7183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 408, 7183 using Euclid's Algorithm?

Answer: For arbitrary numbers 408, 7183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.