Highest Common Factor of 6940, 8367 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 6940, 8367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6940, 8367 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 6940, 8367 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 6940, 8367 is 1.

HCF(6940, 8367) = 1

HCF of 6940, 8367 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6940, 8367 is 1.

Highest Common Factor of 6940,8367 using Euclid's algorithm

Highest Common Factor of 6940,8367 is 1

Step 1: Since 8367 > 6940, we apply the division lemma to 8367 and 6940, to get

8367 = 6940 x 1 + 1427

Step 2: Since the reminder 6940 ≠ 0, we apply division lemma to 1427 and 6940, to get

6940 = 1427 x 4 + 1232

Step 3: We consider the new divisor 1427 and the new remainder 1232, and apply the division lemma to get

1427 = 1232 x 1 + 195

We consider the new divisor 1232 and the new remainder 195,and apply the division lemma to get

1232 = 195 x 6 + 62

We consider the new divisor 195 and the new remainder 62,and apply the division lemma to get

195 = 62 x 3 + 9

We consider the new divisor 62 and the new remainder 9,and apply the division lemma to get

62 = 9 x 6 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6940 and 8367 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(62,9) = HCF(195,62) = HCF(1232,195) = HCF(1427,1232) = HCF(6940,1427) = HCF(8367,6940) .

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Frequently Asked Questions on HCF of 6940, 8367 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 6940, 8367?

Answer: HCF of 6940, 8367 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6940, 8367 using Euclid's Algorithm?

Answer: For arbitrary numbers 6940, 8367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.