Highest Common Factor of 734, 6329 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 734, 6329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 734, 6329 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 734, 6329 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 734, 6329 is 1.

HCF(734, 6329) = 1

HCF of 734, 6329 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 734, 6329 is 1.

Highest Common Factor of 734,6329 using Euclid's algorithm

Highest Common Factor of 734,6329 is 1

Step 1: Since 6329 > 734, we apply the division lemma to 6329 and 734, to get

6329 = 734 x 8 + 457

Step 2: Since the reminder 734 ≠ 0, we apply division lemma to 457 and 734, to get

734 = 457 x 1 + 277

Step 3: We consider the new divisor 457 and the new remainder 277, and apply the division lemma to get

457 = 277 x 1 + 180

We consider the new divisor 277 and the new remainder 180,and apply the division lemma to get

277 = 180 x 1 + 97

We consider the new divisor 180 and the new remainder 97,and apply the division lemma to get

180 = 97 x 1 + 83

We consider the new divisor 97 and the new remainder 83,and apply the division lemma to get

97 = 83 x 1 + 14

We consider the new divisor 83 and the new remainder 14,and apply the division lemma to get

83 = 14 x 5 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 734 and 6329 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(83,14) = HCF(97,83) = HCF(180,97) = HCF(277,180) = HCF(457,277) = HCF(734,457) = HCF(6329,734) .

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Frequently Asked Questions on HCF of 734, 6329 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 734, 6329?

Answer: HCF of 734, 6329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 734, 6329 using Euclid's Algorithm?

Answer: For arbitrary numbers 734, 6329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.