Highest Common Factor of 1367, 8665 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 1367, 8665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1367, 8665 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 1367, 8665 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 1367, 8665 is 1.

HCF(1367, 8665) = 1

HCF of 1367, 8665 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 1367, 8665 is 1.

Highest Common Factor of 1367,8665 using Euclid's algorithm

Highest Common Factor of 1367,8665 is 1

Step 1: Since 8665 > 1367, we apply the division lemma to 8665 and 1367, to get

8665 = 1367 x 6 + 463

Step 2: Since the reminder 1367 ≠ 0, we apply division lemma to 463 and 1367, to get

1367 = 463 x 2 + 441

Step 3: We consider the new divisor 463 and the new remainder 441, and apply the division lemma to get

463 = 441 x 1 + 22

We consider the new divisor 441 and the new remainder 22,and apply the division lemma to get

441 = 22 x 20 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1367 and 8665 is 1

Notice that 1 = HCF(22,1) = HCF(441,22) = HCF(463,441) = HCF(1367,463) = HCF(8665,1367) .

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Frequently Asked Questions on HCF of 1367, 8665 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 1367, 8665?

Answer: HCF of 1367, 8665 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1367, 8665 using Euclid's Algorithm?

Answer: For arbitrary numbers 1367, 8665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.