Highest Common Factor of 790, 209 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 790, 209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 790, 209 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 790, 209 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 790, 209 is 1.

HCF(790, 209) = 1

HCF of 790, 209 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 790, 209 is 1.

Highest Common Factor of 790,209 using Euclid's algorithm

Highest Common Factor of 790,209 is 1

Step 1: Since 790 > 209, we apply the division lemma to 790 and 209, to get

790 = 209 x 3 + 163

Step 2: Since the reminder 209 ≠ 0, we apply division lemma to 163 and 209, to get

209 = 163 x 1 + 46

Step 3: We consider the new divisor 163 and the new remainder 46, and apply the division lemma to get

163 = 46 x 3 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 790 and 209 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(209,163) = HCF(790,209) .

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Frequently Asked Questions on HCF of 790, 209 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 790, 209?

Answer: HCF of 790, 209 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 790, 209 using Euclid's Algorithm?

Answer: For arbitrary numbers 790, 209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.