Highest Common Factor of 6211, 9368 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 6211, 9368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6211, 9368 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 6211, 9368 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 6211, 9368 is 1.

HCF(6211, 9368) = 1

HCF of 6211, 9368 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 6211, 9368 is 1.

Highest Common Factor of 6211,9368 using Euclid's algorithm

Highest Common Factor of 6211,9368 is 1

Step 1: Since 9368 > 6211, we apply the division lemma to 9368 and 6211, to get

9368 = 6211 x 1 + 3157

Step 2: Since the reminder 6211 ≠ 0, we apply division lemma to 3157 and 6211, to get

6211 = 3157 x 1 + 3054

Step 3: We consider the new divisor 3157 and the new remainder 3054, and apply the division lemma to get

3157 = 3054 x 1 + 103

We consider the new divisor 3054 and the new remainder 103,and apply the division lemma to get

3054 = 103 x 29 + 67

We consider the new divisor 103 and the new remainder 67,and apply the division lemma to get

103 = 67 x 1 + 36

We consider the new divisor 67 and the new remainder 36,and apply the division lemma to get

67 = 36 x 1 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6211 and 9368 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(67,36) = HCF(103,67) = HCF(3054,103) = HCF(3157,3054) = HCF(6211,3157) = HCF(9368,6211) .

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Frequently Asked Questions on HCF of 6211, 9368 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 6211, 9368?

Answer: HCF of 6211, 9368 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6211, 9368 using Euclid's Algorithm?

Answer: For arbitrary numbers 6211, 9368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.