Highest Common Factor of 6999, 9953 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 6999, 9953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6999, 9953 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 6999, 9953 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 6999, 9953 is 1.

HCF(6999, 9953) = 1

HCF of 6999, 9953 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 6999, 9953 is 1.

Highest Common Factor of 6999,9953 using Euclid's algorithm

Highest Common Factor of 6999,9953 is 1

Step 1: Since 9953 > 6999, we apply the division lemma to 9953 and 6999, to get

9953 = 6999 x 1 + 2954

Step 2: Since the reminder 6999 ≠ 0, we apply division lemma to 2954 and 6999, to get

6999 = 2954 x 2 + 1091

Step 3: We consider the new divisor 2954 and the new remainder 1091, and apply the division lemma to get

2954 = 1091 x 2 + 772

We consider the new divisor 1091 and the new remainder 772,and apply the division lemma to get

1091 = 772 x 1 + 319

We consider the new divisor 772 and the new remainder 319,and apply the division lemma to get

772 = 319 x 2 + 134

We consider the new divisor 319 and the new remainder 134,and apply the division lemma to get

319 = 134 x 2 + 51

We consider the new divisor 134 and the new remainder 51,and apply the division lemma to get

134 = 51 x 2 + 32

We consider the new divisor 51 and the new remainder 32,and apply the division lemma to get

51 = 32 x 1 + 19

We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get

32 = 19 x 1 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6999 and 9953 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(51,32) = HCF(134,51) = HCF(319,134) = HCF(772,319) = HCF(1091,772) = HCF(2954,1091) = HCF(6999,2954) = HCF(9953,6999) .

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Frequently Asked Questions on HCF of 6999, 9953 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 6999, 9953?

Answer: HCF of 6999, 9953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6999, 9953 using Euclid's Algorithm?

Answer: For arbitrary numbers 6999, 9953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.