Highest Common Factor of 8029, 9962, 50334 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 8029, 9962, 50334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8029, 9962, 50334 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 8029, 9962, 50334 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 8029, 9962, 50334 is 1.

HCF(8029, 9962, 50334) = 1

HCF of 8029, 9962, 50334 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 8029, 9962, 50334 is 1.

Highest Common Factor of 8029,9962,50334 using Euclid's algorithm

Highest Common Factor of 8029,9962,50334 is 1

Step 1: Since 9962 > 8029, we apply the division lemma to 9962 and 8029, to get

9962 = 8029 x 1 + 1933

Step 2: Since the reminder 8029 ≠ 0, we apply division lemma to 1933 and 8029, to get

8029 = 1933 x 4 + 297

Step 3: We consider the new divisor 1933 and the new remainder 297, and apply the division lemma to get

1933 = 297 x 6 + 151

We consider the new divisor 297 and the new remainder 151,and apply the division lemma to get

297 = 151 x 1 + 146

We consider the new divisor 151 and the new remainder 146,and apply the division lemma to get

151 = 146 x 1 + 5

We consider the new divisor 146 and the new remainder 5,and apply the division lemma to get

146 = 5 x 29 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8029 and 9962 is 1

Notice that 1 = HCF(5,1) = HCF(146,5) = HCF(151,146) = HCF(297,151) = HCF(1933,297) = HCF(8029,1933) = HCF(9962,8029) .

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

Step 1: Since 50334 > 1, we apply the division lemma to 50334 and 1, to get

50334 = 1 x 50334 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50334 is 1

Notice that 1 = HCF(50334,1) .

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Frequently Asked Questions on HCF of 8029, 9962, 50334 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 8029, 9962, 50334?

Answer: HCF of 8029, 9962, 50334 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8029, 9962, 50334 using Euclid's Algorithm?

Answer: For arbitrary numbers 8029, 9962, 50334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.