Highest Common Factor of 5834, 9719 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 5834, 9719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5834, 9719 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 5834, 9719 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 5834, 9719 is 1.

HCF(5834, 9719) = 1

HCF of 5834, 9719 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5834, 9719 is 1.

Highest Common Factor of 5834,9719 using Euclid's algorithm

Highest Common Factor of 5834,9719 is 1

Step 1: Since 9719 > 5834, we apply the division lemma to 9719 and 5834, to get

9719 = 5834 x 1 + 3885

Step 2: Since the reminder 5834 ≠ 0, we apply division lemma to 3885 and 5834, to get

5834 = 3885 x 1 + 1949

Step 3: We consider the new divisor 3885 and the new remainder 1949, and apply the division lemma to get

3885 = 1949 x 1 + 1936

We consider the new divisor 1949 and the new remainder 1936,and apply the division lemma to get

1949 = 1936 x 1 + 13

We consider the new divisor 1936 and the new remainder 13,and apply the division lemma to get

1936 = 13 x 148 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5834 and 9719 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(1936,13) = HCF(1949,1936) = HCF(3885,1949) = HCF(5834,3885) = HCF(9719,5834) .

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Frequently Asked Questions on HCF of 5834, 9719 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 5834, 9719?

Answer: HCF of 5834, 9719 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5834, 9719 using Euclid's Algorithm?

Answer: For arbitrary numbers 5834, 9719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.