Highest Common Factor of 9241, 6797, 82847 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 9241, 6797, 82847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9241, 6797, 82847 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 9241, 6797, 82847 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 9241, 6797, 82847 is 1.

HCF(9241, 6797, 82847) = 1

HCF of 9241, 6797, 82847 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 9241, 6797, 82847 is 1.

Highest Common Factor of 9241,6797,82847 using Euclid's algorithm

Highest Common Factor of 9241,6797,82847 is 1

Step 1: Since 9241 > 6797, we apply the division lemma to 9241 and 6797, to get

9241 = 6797 x 1 + 2444

Step 2: Since the reminder 6797 ≠ 0, we apply division lemma to 2444 and 6797, to get

6797 = 2444 x 2 + 1909

Step 3: We consider the new divisor 2444 and the new remainder 1909, and apply the division lemma to get

2444 = 1909 x 1 + 535

We consider the new divisor 1909 and the new remainder 535,and apply the division lemma to get

1909 = 535 x 3 + 304

We consider the new divisor 535 and the new remainder 304,and apply the division lemma to get

535 = 304 x 1 + 231

We consider the new divisor 304 and the new remainder 231,and apply the division lemma to get

304 = 231 x 1 + 73

We consider the new divisor 231 and the new remainder 73,and apply the division lemma to get

231 = 73 x 3 + 12

We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get

73 = 12 x 6 + 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 9241 and 6797 is 1

Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(231,73) = HCF(304,231) = HCF(535,304) = HCF(1909,535) = HCF(2444,1909) = HCF(6797,2444) = HCF(9241,6797) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 82847 > 1, we apply the division lemma to 82847 and 1, to get

82847 = 1 x 82847 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82847 is 1

Notice that 1 = HCF(82847,1) .

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Frequently Asked Questions on HCF of 9241, 6797, 82847 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 9241, 6797, 82847?

Answer: HCF of 9241, 6797, 82847 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9241, 6797, 82847 using Euclid's Algorithm?

Answer: For arbitrary numbers 9241, 6797, 82847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.