Highest Common Factor of 6644, 7843, 81753 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 6644, 7843, 81753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6644, 7843, 81753 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 6644, 7843, 81753 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 6644, 7843, 81753 is 1.

HCF(6644, 7843, 81753) = 1

HCF of 6644, 7843, 81753 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 6644, 7843, 81753 is 1.

Highest Common Factor of 6644,7843,81753 using Euclid's algorithm

Highest Common Factor of 6644,7843,81753 is 1

Step 1: Since 7843 > 6644, we apply the division lemma to 7843 and 6644, to get

7843 = 6644 x 1 + 1199

Step 2: Since the reminder 6644 ≠ 0, we apply division lemma to 1199 and 6644, to get

6644 = 1199 x 5 + 649

Step 3: We consider the new divisor 1199 and the new remainder 649, and apply the division lemma to get

1199 = 649 x 1 + 550

We consider the new divisor 649 and the new remainder 550,and apply the division lemma to get

649 = 550 x 1 + 99

We consider the new divisor 550 and the new remainder 99,and apply the division lemma to get

550 = 99 x 5 + 55

We consider the new divisor 99 and the new remainder 55,and apply the division lemma to get

99 = 55 x 1 + 44

We consider the new divisor 55 and the new remainder 44,and apply the division lemma to get

55 = 44 x 1 + 11

We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get

44 = 11 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 6644 and 7843 is 11

Notice that 11 = HCF(44,11) = HCF(55,44) = HCF(99,55) = HCF(550,99) = HCF(649,550) = HCF(1199,649) = HCF(6644,1199) = HCF(7843,6644) .

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

Step 1: Since 81753 > 11, we apply the division lemma to 81753 and 11, to get

81753 = 11 x 7432 + 1

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 1 and 11, to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 81753 is 1

Notice that 1 = HCF(11,1) = HCF(81753,11) .

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Frequently Asked Questions on HCF of 6644, 7843, 81753 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 6644, 7843, 81753?

Answer: HCF of 6644, 7843, 81753 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6644, 7843, 81753 using Euclid's Algorithm?

Answer: For arbitrary numbers 6644, 7843, 81753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.