Highest Common Factor of 9685, 5439 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 9685, 5439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9685, 5439 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 9685, 5439 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 9685, 5439 is 1.

HCF(9685, 5439) = 1

HCF of 9685, 5439 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 9685, 5439 is 1.

Highest Common Factor of 9685,5439 using Euclid's algorithm

Highest Common Factor of 9685,5439 is 1

Step 1: Since 9685 > 5439, we apply the division lemma to 9685 and 5439, to get

9685 = 5439 x 1 + 4246

Step 2: Since the reminder 5439 ≠ 0, we apply division lemma to 4246 and 5439, to get

5439 = 4246 x 1 + 1193

Step 3: We consider the new divisor 4246 and the new remainder 1193, and apply the division lemma to get

4246 = 1193 x 3 + 667

We consider the new divisor 1193 and the new remainder 667,and apply the division lemma to get

1193 = 667 x 1 + 526

We consider the new divisor 667 and the new remainder 526,and apply the division lemma to get

667 = 526 x 1 + 141

We consider the new divisor 526 and the new remainder 141,and apply the division lemma to get

526 = 141 x 3 + 103

We consider the new divisor 141 and the new remainder 103,and apply the division lemma to get

141 = 103 x 1 + 38

We consider the new divisor 103 and the new remainder 38,and apply the division lemma to get

103 = 38 x 2 + 27

We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get

38 = 27 x 1 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9685 and 5439 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(103,38) = HCF(141,103) = HCF(526,141) = HCF(667,526) = HCF(1193,667) = HCF(4246,1193) = HCF(5439,4246) = HCF(9685,5439) .

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Frequently Asked Questions on HCF of 9685, 5439 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 9685, 5439?

Answer: HCF of 9685, 5439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9685, 5439 using Euclid's Algorithm?

Answer: For arbitrary numbers 9685, 5439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.