Highest Common Factor of 3698, 7209 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 3698, 7209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3698, 7209 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 3698, 7209 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 3698, 7209 is 1.

HCF(3698, 7209) = 1

HCF of 3698, 7209 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 3698, 7209 is 1.

Highest Common Factor of 3698,7209 using Euclid's algorithm

Highest Common Factor of 3698,7209 is 1

Step 1: Since 7209 > 3698, we apply the division lemma to 7209 and 3698, to get

7209 = 3698 x 1 + 3511

Step 2: Since the reminder 3698 ≠ 0, we apply division lemma to 3511 and 3698, to get

3698 = 3511 x 1 + 187

Step 3: We consider the new divisor 3511 and the new remainder 187, and apply the division lemma to get

3511 = 187 x 18 + 145

We consider the new divisor 187 and the new remainder 145,and apply the division lemma to get

187 = 145 x 1 + 42

We consider the new divisor 145 and the new remainder 42,and apply the division lemma to get

145 = 42 x 3 + 19

We consider the new divisor 42 and the new remainder 19,and apply the division lemma to get

42 = 19 x 2 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 3698 and 7209 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(42,19) = HCF(145,42) = HCF(187,145) = HCF(3511,187) = HCF(3698,3511) = HCF(7209,3698) .

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Frequently Asked Questions on HCF of 3698, 7209 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 3698, 7209?

Answer: HCF of 3698, 7209 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3698, 7209 using Euclid's Algorithm?

Answer: For arbitrary numbers 3698, 7209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.