Highest Common Factor of 9101, 545 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 9101, 545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9101, 545 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 9101, 545 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 9101, 545 is 1.

HCF(9101, 545) = 1

HCF of 9101, 545 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 9101, 545 is 1.

Highest Common Factor of 9101,545 using Euclid's algorithm

Highest Common Factor of 9101,545 is 1

Step 1: Since 9101 > 545, we apply the division lemma to 9101 and 545, to get

9101 = 545 x 16 + 381

Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 381 and 545, to get

545 = 381 x 1 + 164

Step 3: We consider the new divisor 381 and the new remainder 164, and apply the division lemma to get

381 = 164 x 2 + 53

We consider the new divisor 164 and the new remainder 53,and apply the division lemma to get

164 = 53 x 3 + 5

We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get

53 = 5 x 10 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9101 and 545 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(164,53) = HCF(381,164) = HCF(545,381) = HCF(9101,545) .

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Frequently Asked Questions on HCF of 9101, 545 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 9101, 545?

Answer: HCF of 9101, 545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9101, 545 using Euclid's Algorithm?

Answer: For arbitrary numbers 9101, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.