Highest Common Factor of 683, 426 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 683, 426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 683, 426 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 683, 426 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 683, 426 is 1.

HCF(683, 426) = 1

HCF of 683, 426 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 683, 426 is 1.

Highest Common Factor of 683,426 using Euclid's algorithm

Highest Common Factor of 683,426 is 1

Step 1: Since 683 > 426, we apply the division lemma to 683 and 426, to get

683 = 426 x 1 + 257

Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 257 and 426, to get

426 = 257 x 1 + 169

Step 3: We consider the new divisor 257 and the new remainder 169, and apply the division lemma to get

257 = 169 x 1 + 88

We consider the new divisor 169 and the new remainder 88,and apply the division lemma to get

169 = 88 x 1 + 81

We consider the new divisor 88 and the new remainder 81,and apply the division lemma to get

88 = 81 x 1 + 7

We consider the new divisor 81 and the new remainder 7,and apply the division lemma to get

81 = 7 x 11 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 683 and 426 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(81,7) = HCF(88,81) = HCF(169,88) = HCF(257,169) = HCF(426,257) = HCF(683,426) .

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Frequently Asked Questions on HCF of 683, 426 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 683, 426?

Answer: HCF of 683, 426 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 683, 426 using Euclid's Algorithm?

Answer: For arbitrary numbers 683, 426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.