Highest Common Factor of 8369, 3933, 94444 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 8369, 3933, 94444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8369, 3933, 94444 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 8369, 3933, 94444 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 8369, 3933, 94444 is 1.

HCF(8369, 3933, 94444) = 1

HCF of 8369, 3933, 94444 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 8369, 3933, 94444 is 1.

Highest Common Factor of 8369,3933,94444 using Euclid's algorithm

Highest Common Factor of 8369,3933,94444 is 1

Step 1: Since 8369 > 3933, we apply the division lemma to 8369 and 3933, to get

8369 = 3933 x 2 + 503

Step 2: Since the reminder 3933 ≠ 0, we apply division lemma to 503 and 3933, to get

3933 = 503 x 7 + 412

Step 3: We consider the new divisor 503 and the new remainder 412, and apply the division lemma to get

503 = 412 x 1 + 91

We consider the new divisor 412 and the new remainder 91,and apply the division lemma to get

412 = 91 x 4 + 48

We consider the new divisor 91 and the new remainder 48,and apply the division lemma to get

91 = 48 x 1 + 43

We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get

48 = 43 x 1 + 5

We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get

43 = 5 x 8 + 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 8369 and 3933 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(91,48) = HCF(412,91) = HCF(503,412) = HCF(3933,503) = HCF(8369,3933) .

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

Step 1: Since 94444 > 1, we apply the division lemma to 94444 and 1, to get

94444 = 1 x 94444 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94444 is 1

Notice that 1 = HCF(94444,1) .

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Frequently Asked Questions on HCF of 8369, 3933, 94444 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 8369, 3933, 94444?

Answer: HCF of 8369, 3933, 94444 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8369, 3933, 94444 using Euclid's Algorithm?

Answer: For arbitrary numbers 8369, 3933, 94444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.