Highest Common Factor of 9863, 5152, 67030 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 9863, 5152, 67030 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9863, 5152, 67030 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 9863, 5152, 67030 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 9863, 5152, 67030 is 1.

HCF(9863, 5152, 67030) = 1

HCF of 9863, 5152, 67030 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 9863, 5152, 67030 is 1.

Highest Common Factor of 9863,5152,67030 using Euclid's algorithm

Highest Common Factor of 9863,5152,67030 is 1

Step 1: Since 9863 > 5152, we apply the division lemma to 9863 and 5152, to get

9863 = 5152 x 1 + 4711

Step 2: Since the reminder 5152 ≠ 0, we apply division lemma to 4711 and 5152, to get

5152 = 4711 x 1 + 441

Step 3: We consider the new divisor 4711 and the new remainder 441, and apply the division lemma to get

4711 = 441 x 10 + 301

We consider the new divisor 441 and the new remainder 301,and apply the division lemma to get

441 = 301 x 1 + 140

We consider the new divisor 301 and the new remainder 140,and apply the division lemma to get

301 = 140 x 2 + 21

We consider the new divisor 140 and the new remainder 21,and apply the division lemma to get

140 = 21 x 6 + 14

We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get

21 = 14 x 1 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9863 and 5152 is 7

Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(140,21) = HCF(301,140) = HCF(441,301) = HCF(4711,441) = HCF(5152,4711) = HCF(9863,5152) .

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

Step 1: Since 67030 > 7, we apply the division lemma to 67030 and 7, to get

67030 = 7 x 9575 + 5

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get

7 = 5 x 1 + 2

Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get

5 = 2 x 2 + 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 7 and 67030 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(67030,7) .

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Frequently Asked Questions on HCF of 9863, 5152, 67030 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 9863, 5152, 67030?

Answer: HCF of 9863, 5152, 67030 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9863, 5152, 67030 using Euclid's Algorithm?

Answer: For arbitrary numbers 9863, 5152, 67030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.