Highest Common Factor of 841, 1362, 6444 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 841, 1362, 6444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 841, 1362, 6444 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 841, 1362, 6444 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 841, 1362, 6444 is 1.

HCF(841, 1362, 6444) = 1

HCF of 841, 1362, 6444 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 841, 1362, 6444 is 1.

Highest Common Factor of 841,1362,6444 using Euclid's algorithm

Highest Common Factor of 841,1362,6444 is 1

Step 1: Since 1362 > 841, we apply the division lemma to 1362 and 841, to get

1362 = 841 x 1 + 521

Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 521 and 841, to get

841 = 521 x 1 + 320

Step 3: We consider the new divisor 521 and the new remainder 320, and apply the division lemma to get

521 = 320 x 1 + 201

We consider the new divisor 320 and the new remainder 201,and apply the division lemma to get

320 = 201 x 1 + 119

We consider the new divisor 201 and the new remainder 119,and apply the division lemma to get

201 = 119 x 1 + 82

We consider the new divisor 119 and the new remainder 82,and apply the division lemma to get

119 = 82 x 1 + 37

We consider the new divisor 82 and the new remainder 37,and apply the division lemma to get

82 = 37 x 2 + 8

We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get

37 = 8 x 4 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 841 and 1362 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(82,37) = HCF(119,82) = HCF(201,119) = HCF(320,201) = HCF(521,320) = HCF(841,521) = HCF(1362,841) .

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

Step 1: Since 6444 > 1, we apply the division lemma to 6444 and 1, to get

6444 = 1 x 6444 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6444 is 1

Notice that 1 = HCF(6444,1) .

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Frequently Asked Questions on HCF of 841, 1362, 6444 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 841, 1362, 6444?

Answer: HCF of 841, 1362, 6444 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 841, 1362, 6444 using Euclid's Algorithm?

Answer: For arbitrary numbers 841, 1362, 6444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.