Highest Common Factor of 9303, 6691 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 9303, 6691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9303, 6691 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 9303, 6691 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 9303, 6691 is 1.

HCF(9303, 6691) = 1

HCF of 9303, 6691 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 9303, 6691 is 1.

Highest Common Factor of 9303,6691 using Euclid's algorithm

Highest Common Factor of 9303,6691 is 1

Step 1: Since 9303 > 6691, we apply the division lemma to 9303 and 6691, to get

9303 = 6691 x 1 + 2612

Step 2: Since the reminder 6691 ≠ 0, we apply division lemma to 2612 and 6691, to get

6691 = 2612 x 2 + 1467

Step 3: We consider the new divisor 2612 and the new remainder 1467, and apply the division lemma to get

2612 = 1467 x 1 + 1145

We consider the new divisor 1467 and the new remainder 1145,and apply the division lemma to get

1467 = 1145 x 1 + 322

We consider the new divisor 1145 and the new remainder 322,and apply the division lemma to get

1145 = 322 x 3 + 179

We consider the new divisor 322 and the new remainder 179,and apply the division lemma to get

322 = 179 x 1 + 143

We consider the new divisor 179 and the new remainder 143,and apply the division lemma to get

179 = 143 x 1 + 36

We consider the new divisor 143 and the new remainder 36,and apply the division lemma to get

143 = 36 x 3 + 35

We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get

36 = 35 x 1 + 1

We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get

35 = 1 x 35 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9303 and 6691 is 1

Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(143,36) = HCF(179,143) = HCF(322,179) = HCF(1145,322) = HCF(1467,1145) = HCF(2612,1467) = HCF(6691,2612) = HCF(9303,6691) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9303, 6691 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 9303, 6691?

Answer: HCF of 9303, 6691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9303, 6691 using Euclid's Algorithm?

Answer: For arbitrary numbers 9303, 6691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.