Highest Common Factor of 9857, 5643 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 9857, 5643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9857, 5643 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 9857, 5643 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 9857, 5643 is 1.

HCF(9857, 5643) = 1

HCF of 9857, 5643 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 9857, 5643 is 1.

Highest Common Factor of 9857,5643 using Euclid's algorithm

Highest Common Factor of 9857,5643 is 1

Step 1: Since 9857 > 5643, we apply the division lemma to 9857 and 5643, to get

9857 = 5643 x 1 + 4214

Step 2: Since the reminder 5643 ≠ 0, we apply division lemma to 4214 and 5643, to get

5643 = 4214 x 1 + 1429

Step 3: We consider the new divisor 4214 and the new remainder 1429, and apply the division lemma to get

4214 = 1429 x 2 + 1356

We consider the new divisor 1429 and the new remainder 1356,and apply the division lemma to get

1429 = 1356 x 1 + 73

We consider the new divisor 1356 and the new remainder 73,and apply the division lemma to get

1356 = 73 x 18 + 42

We consider the new divisor 73 and the new remainder 42,and apply the division lemma to get

73 = 42 x 1 + 31

We consider the new divisor 42 and the new remainder 31,and apply the division lemma to get

42 = 31 x 1 + 11

We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get

31 = 11 x 2 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 9857 and 5643 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(42,31) = HCF(73,42) = HCF(1356,73) = HCF(1429,1356) = HCF(4214,1429) = HCF(5643,4214) = HCF(9857,5643) .

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Frequently Asked Questions on HCF of 9857, 5643 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 9857, 5643?

Answer: HCF of 9857, 5643 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9857, 5643 using Euclid's Algorithm?

Answer: For arbitrary numbers 9857, 5643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.