Highest Common Factor of 5733, 1676 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 5733, 1676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5733, 1676 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 5733, 1676 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 5733, 1676 is 1.

HCF(5733, 1676) = 1

HCF of 5733, 1676 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 5733, 1676 is 1.

Highest Common Factor of 5733,1676 using Euclid's algorithm

Highest Common Factor of 5733,1676 is 1

Step 1: Since 5733 > 1676, we apply the division lemma to 5733 and 1676, to get

5733 = 1676 x 3 + 705

Step 2: Since the reminder 1676 ≠ 0, we apply division lemma to 705 and 1676, to get

1676 = 705 x 2 + 266

Step 3: We consider the new divisor 705 and the new remainder 266, and apply the division lemma to get

705 = 266 x 2 + 173

We consider the new divisor 266 and the new remainder 173,and apply the division lemma to get

266 = 173 x 1 + 93

We consider the new divisor 173 and the new remainder 93,and apply the division lemma to get

173 = 93 x 1 + 80

We consider the new divisor 93 and the new remainder 80,and apply the division lemma to get

93 = 80 x 1 + 13

We consider the new divisor 80 and the new remainder 13,and apply the division lemma to get

80 = 13 x 6 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5733 and 1676 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(80,13) = HCF(93,80) = HCF(173,93) = HCF(266,173) = HCF(705,266) = HCF(1676,705) = HCF(5733,1676) .

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Frequently Asked Questions on HCF of 5733, 1676 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 5733, 1676?

Answer: HCF of 5733, 1676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5733, 1676 using Euclid's Algorithm?

Answer: For arbitrary numbers 5733, 1676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.