Highest Common Factor of 9706, 5036, 29079 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 9706, 5036, 29079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9706, 5036, 29079 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 9706, 5036, 29079 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 9706, 5036, 29079 is 1.

HCF(9706, 5036, 29079) = 1

HCF of 9706, 5036, 29079 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 9706, 5036, 29079 is 1.

Highest Common Factor of 9706,5036,29079 using Euclid's algorithm

Highest Common Factor of 9706,5036,29079 is 1

Step 1: Since 9706 > 5036, we apply the division lemma to 9706 and 5036, to get

9706 = 5036 x 1 + 4670

Step 2: Since the reminder 5036 ≠ 0, we apply division lemma to 4670 and 5036, to get

5036 = 4670 x 1 + 366

Step 3: We consider the new divisor 4670 and the new remainder 366, and apply the division lemma to get

4670 = 366 x 12 + 278

We consider the new divisor 366 and the new remainder 278,and apply the division lemma to get

366 = 278 x 1 + 88

We consider the new divisor 278 and the new remainder 88,and apply the division lemma to get

278 = 88 x 3 + 14

We consider the new divisor 88 and the new remainder 14,and apply the division lemma to get

88 = 14 x 6 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9706 and 5036 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(88,14) = HCF(278,88) = HCF(366,278) = HCF(4670,366) = HCF(5036,4670) = HCF(9706,5036) .

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

Step 1: Since 29079 > 2, we apply the division lemma to 29079 and 2, to get

29079 = 2 x 14539 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 29079 is 1

Notice that 1 = HCF(2,1) = HCF(29079,2) .

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Frequently Asked Questions on HCF of 9706, 5036, 29079 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 9706, 5036, 29079?

Answer: HCF of 9706, 5036, 29079 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9706, 5036, 29079 using Euclid's Algorithm?

Answer: For arbitrary numbers 9706, 5036, 29079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.