Highest Common Factor of 3005, 8393, 99437 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 3005, 8393, 99437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3005, 8393, 99437 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 3005, 8393, 99437 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 3005, 8393, 99437 is 1.

HCF(3005, 8393, 99437) = 1

HCF of 3005, 8393, 99437 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 3005, 8393, 99437 is 1.

Highest Common Factor of 3005,8393,99437 using Euclid's algorithm

Highest Common Factor of 3005,8393,99437 is 1

Step 1: Since 8393 > 3005, we apply the division lemma to 8393 and 3005, to get

8393 = 3005 x 2 + 2383

Step 2: Since the reminder 3005 ≠ 0, we apply division lemma to 2383 and 3005, to get

3005 = 2383 x 1 + 622

Step 3: We consider the new divisor 2383 and the new remainder 622, and apply the division lemma to get

2383 = 622 x 3 + 517

We consider the new divisor 622 and the new remainder 517,and apply the division lemma to get

622 = 517 x 1 + 105

We consider the new divisor 517 and the new remainder 105,and apply the division lemma to get

517 = 105 x 4 + 97

We consider the new divisor 105 and the new remainder 97,and apply the division lemma to get

105 = 97 x 1 + 8

We consider the new divisor 97 and the new remainder 8,and apply the division lemma to get

97 = 8 x 12 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3005 and 8393 is 1

Notice that 1 = HCF(8,1) = HCF(97,8) = HCF(105,97) = HCF(517,105) = HCF(622,517) = HCF(2383,622) = HCF(3005,2383) = HCF(8393,3005) .

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

Step 1: Since 99437 > 1, we apply the division lemma to 99437 and 1, to get

99437 = 1 x 99437 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99437 is 1

Notice that 1 = HCF(99437,1) .

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Frequently Asked Questions on HCF of 3005, 8393, 99437 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 3005, 8393, 99437?

Answer: HCF of 3005, 8393, 99437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3005, 8393, 99437 using Euclid's Algorithm?

Answer: For arbitrary numbers 3005, 8393, 99437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.