Highest Common Factor of 9791, 6933, 71534 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 9791, 6933, 71534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9791, 6933, 71534 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 9791, 6933, 71534 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 9791, 6933, 71534 is 1.

HCF(9791, 6933, 71534) = 1

HCF of 9791, 6933, 71534 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 9791, 6933, 71534 is 1.

Highest Common Factor of 9791,6933,71534 using Euclid's algorithm

Highest Common Factor of 9791,6933,71534 is 1

Step 1: Since 9791 > 6933, we apply the division lemma to 9791 and 6933, to get

9791 = 6933 x 1 + 2858

Step 2: Since the reminder 6933 ≠ 0, we apply division lemma to 2858 and 6933, to get

6933 = 2858 x 2 + 1217

Step 3: We consider the new divisor 2858 and the new remainder 1217, and apply the division lemma to get

2858 = 1217 x 2 + 424

We consider the new divisor 1217 and the new remainder 424,and apply the division lemma to get

1217 = 424 x 2 + 369

We consider the new divisor 424 and the new remainder 369,and apply the division lemma to get

424 = 369 x 1 + 55

We consider the new divisor 369 and the new remainder 55,and apply the division lemma to get

369 = 55 x 6 + 39

We consider the new divisor 55 and the new remainder 39,and apply the division lemma to get

55 = 39 x 1 + 16

We consider the new divisor 39 and the new remainder 16,and apply the division lemma to get

39 = 16 x 2 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 9791 and 6933 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(39,16) = HCF(55,39) = HCF(369,55) = HCF(424,369) = HCF(1217,424) = HCF(2858,1217) = HCF(6933,2858) = HCF(9791,6933) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 71534 > 1, we apply the division lemma to 71534 and 1, to get

71534 = 1 x 71534 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71534 is 1

Notice that 1 = HCF(71534,1) .

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Frequently Asked Questions on HCF of 9791, 6933, 71534 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 9791, 6933, 71534?

Answer: HCF of 9791, 6933, 71534 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9791, 6933, 71534 using Euclid's Algorithm?

Answer: For arbitrary numbers 9791, 6933, 71534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.