Highest Common Factor of 5827, 9969 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 5827, 9969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5827, 9969 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 5827, 9969 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 5827, 9969 is 1.

HCF(5827, 9969) = 1

HCF of 5827, 9969 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 5827, 9969 is 1.

Highest Common Factor of 5827,9969 using Euclid's algorithm

Highest Common Factor of 5827,9969 is 1

Step 1: Since 9969 > 5827, we apply the division lemma to 9969 and 5827, to get

9969 = 5827 x 1 + 4142

Step 2: Since the reminder 5827 ≠ 0, we apply division lemma to 4142 and 5827, to get

5827 = 4142 x 1 + 1685

Step 3: We consider the new divisor 4142 and the new remainder 1685, and apply the division lemma to get

4142 = 1685 x 2 + 772

We consider the new divisor 1685 and the new remainder 772,and apply the division lemma to get

1685 = 772 x 2 + 141

We consider the new divisor 772 and the new remainder 141,and apply the division lemma to get

772 = 141 x 5 + 67

We consider the new divisor 141 and the new remainder 67,and apply the division lemma to get

141 = 67 x 2 + 7

We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get

67 = 7 x 9 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5827 and 9969 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(141,67) = HCF(772,141) = HCF(1685,772) = HCF(4142,1685) = HCF(5827,4142) = HCF(9969,5827) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5827, 9969 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 5827, 9969?

Answer: HCF of 5827, 9969 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5827, 9969 using Euclid's Algorithm?

Answer: For arbitrary numbers 5827, 9969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.