Highest Common Factor of 6800, 3797 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 6800, 3797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6800, 3797 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 6800, 3797 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 6800, 3797 is 1.

HCF(6800, 3797) = 1

HCF of 6800, 3797 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 6800, 3797 is 1.

Highest Common Factor of 6800,3797 using Euclid's algorithm

Highest Common Factor of 6800,3797 is 1

Step 1: Since 6800 > 3797, we apply the division lemma to 6800 and 3797, to get

6800 = 3797 x 1 + 3003

Step 2: Since the reminder 3797 ≠ 0, we apply division lemma to 3003 and 3797, to get

3797 = 3003 x 1 + 794

Step 3: We consider the new divisor 3003 and the new remainder 794, and apply the division lemma to get

3003 = 794 x 3 + 621

We consider the new divisor 794 and the new remainder 621,and apply the division lemma to get

794 = 621 x 1 + 173

We consider the new divisor 621 and the new remainder 173,and apply the division lemma to get

621 = 173 x 3 + 102

We consider the new divisor 173 and the new remainder 102,and apply the division lemma to get

173 = 102 x 1 + 71

We consider the new divisor 102 and the new remainder 71,and apply the division lemma to get

102 = 71 x 1 + 31

We consider the new divisor 71 and the new remainder 31,and apply the division lemma to get

71 = 31 x 2 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 6800 and 3797 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(71,31) = HCF(102,71) = HCF(173,102) = HCF(621,173) = HCF(794,621) = HCF(3003,794) = HCF(3797,3003) = HCF(6800,3797) .

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Frequently Asked Questions on HCF of 6800, 3797 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 6800, 3797?

Answer: HCF of 6800, 3797 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6800, 3797 using Euclid's Algorithm?

Answer: For arbitrary numbers 6800, 3797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.