Highest Common Factor of 9834, 4679, 26224 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 9834, 4679, 26224 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9834, 4679, 26224 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 9834, 4679, 26224 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 9834, 4679, 26224 is 1.

HCF(9834, 4679, 26224) = 1

HCF of 9834, 4679, 26224 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 9834, 4679, 26224 is 1.

Highest Common Factor of 9834,4679,26224 using Euclid's algorithm

Highest Common Factor of 9834,4679,26224 is 1

Step 1: Since 9834 > 4679, we apply the division lemma to 9834 and 4679, to get

9834 = 4679 x 2 + 476

Step 2: Since the reminder 4679 ≠ 0, we apply division lemma to 476 and 4679, to get

4679 = 476 x 9 + 395

Step 3: We consider the new divisor 476 and the new remainder 395, and apply the division lemma to get

476 = 395 x 1 + 81

We consider the new divisor 395 and the new remainder 81,and apply the division lemma to get

395 = 81 x 4 + 71

We consider the new divisor 81 and the new remainder 71,and apply the division lemma to get

81 = 71 x 1 + 10

We consider the new divisor 71 and the new remainder 10,and apply the division lemma to get

71 = 10 x 7 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9834 and 4679 is 1

Notice that 1 = HCF(10,1) = HCF(71,10) = HCF(81,71) = HCF(395,81) = HCF(476,395) = HCF(4679,476) = HCF(9834,4679) .

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

Step 1: Since 26224 > 1, we apply the division lemma to 26224 and 1, to get

26224 = 1 x 26224 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26224 is 1

Notice that 1 = HCF(26224,1) .

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Frequently Asked Questions on HCF of 9834, 4679, 26224 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 9834, 4679, 26224?

Answer: HCF of 9834, 4679, 26224 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9834, 4679, 26224 using Euclid's Algorithm?

Answer: For arbitrary numbers 9834, 4679, 26224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.