Highest Common Factor of 9555, 6667 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 9555, 6667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9555, 6667 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 9555, 6667 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 9555, 6667 is 1.

HCF(9555, 6667) = 1

HCF of 9555, 6667 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 9555, 6667 is 1.

Highest Common Factor of 9555,6667 using Euclid's algorithm

Highest Common Factor of 9555,6667 is 1

Step 1: Since 9555 > 6667, we apply the division lemma to 9555 and 6667, to get

9555 = 6667 x 1 + 2888

Step 2: Since the reminder 6667 ≠ 0, we apply division lemma to 2888 and 6667, to get

6667 = 2888 x 2 + 891

Step 3: We consider the new divisor 2888 and the new remainder 891, and apply the division lemma to get

2888 = 891 x 3 + 215

We consider the new divisor 891 and the new remainder 215,and apply the division lemma to get

891 = 215 x 4 + 31

We consider the new divisor 215 and the new remainder 31,and apply the division lemma to get

215 = 31 x 6 + 29

We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get

31 = 29 x 1 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 9555 and 6667 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(215,31) = HCF(891,215) = HCF(2888,891) = HCF(6667,2888) = HCF(9555,6667) .

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Frequently Asked Questions on HCF of 9555, 6667 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 9555, 6667?

Answer: HCF of 9555, 6667 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9555, 6667 using Euclid's Algorithm?

Answer: For arbitrary numbers 9555, 6667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.