Highest Common Factor of 6679, 9599 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 6679, 9599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6679, 9599 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 6679, 9599 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 6679, 9599 is 1.

HCF(6679, 9599) = 1

HCF of 6679, 9599 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 6679, 9599 is 1.

Highest Common Factor of 6679,9599 using Euclid's algorithm

Highest Common Factor of 6679,9599 is 1

Step 1: Since 9599 > 6679, we apply the division lemma to 9599 and 6679, to get

9599 = 6679 x 1 + 2920

Step 2: Since the reminder 6679 ≠ 0, we apply division lemma to 2920 and 6679, to get

6679 = 2920 x 2 + 839

Step 3: We consider the new divisor 2920 and the new remainder 839, and apply the division lemma to get

2920 = 839 x 3 + 403

We consider the new divisor 839 and the new remainder 403,and apply the division lemma to get

839 = 403 x 2 + 33

We consider the new divisor 403 and the new remainder 33,and apply the division lemma to get

403 = 33 x 12 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 6679 and 9599 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(403,33) = HCF(839,403) = HCF(2920,839) = HCF(6679,2920) = HCF(9599,6679) .

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Frequently Asked Questions on HCF of 6679, 9599 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 6679, 9599?

Answer: HCF of 6679, 9599 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6679, 9599 using Euclid's Algorithm?

Answer: For arbitrary numbers 6679, 9599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.