Highest Common Factor of 3202, 8469 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 3202, 8469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3202, 8469 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 3202, 8469 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 3202, 8469 is 1.

HCF(3202, 8469) = 1

HCF of 3202, 8469 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 3202, 8469 is 1.

Highest Common Factor of 3202,8469 using Euclid's algorithm

Highest Common Factor of 3202,8469 is 1

Step 1: Since 8469 > 3202, we apply the division lemma to 8469 and 3202, to get

8469 = 3202 x 2 + 2065

Step 2: Since the reminder 3202 ≠ 0, we apply division lemma to 2065 and 3202, to get

3202 = 2065 x 1 + 1137

Step 3: We consider the new divisor 2065 and the new remainder 1137, and apply the division lemma to get

2065 = 1137 x 1 + 928

We consider the new divisor 1137 and the new remainder 928,and apply the division lemma to get

1137 = 928 x 1 + 209

We consider the new divisor 928 and the new remainder 209,and apply the division lemma to get

928 = 209 x 4 + 92

We consider the new divisor 209 and the new remainder 92,and apply the division lemma to get

209 = 92 x 2 + 25

We consider the new divisor 92 and the new remainder 25,and apply the division lemma to get

92 = 25 x 3 + 17

We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get

25 = 17 x 1 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3202 and 8469 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(92,25) = HCF(209,92) = HCF(928,209) = HCF(1137,928) = HCF(2065,1137) = HCF(3202,2065) = HCF(8469,3202) .

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Frequently Asked Questions on HCF of 3202, 8469 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 3202, 8469?

Answer: HCF of 3202, 8469 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3202, 8469 using Euclid's Algorithm?

Answer: For arbitrary numbers 3202, 8469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.