Highest Common Factor of 9632, 6916, 41067 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 9632, 6916, 41067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9632, 6916, 41067 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 9632, 6916, 41067 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 9632, 6916, 41067 is 1.

HCF(9632, 6916, 41067) = 1

HCF of 9632, 6916, 41067 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 9632, 6916, 41067 is 1.

Highest Common Factor of 9632,6916,41067 using Euclid's algorithm

Highest Common Factor of 9632,6916,41067 is 1

Step 1: Since 9632 > 6916, we apply the division lemma to 9632 and 6916, to get

9632 = 6916 x 1 + 2716

Step 2: Since the reminder 6916 ≠ 0, we apply division lemma to 2716 and 6916, to get

6916 = 2716 x 2 + 1484

Step 3: We consider the new divisor 2716 and the new remainder 1484, and apply the division lemma to get

2716 = 1484 x 1 + 1232

We consider the new divisor 1484 and the new remainder 1232,and apply the division lemma to get

1484 = 1232 x 1 + 252

We consider the new divisor 1232 and the new remainder 252,and apply the division lemma to get

1232 = 252 x 4 + 224

We consider the new divisor 252 and the new remainder 224,and apply the division lemma to get

252 = 224 x 1 + 28

We consider the new divisor 224 and the new remainder 28,and apply the division lemma to get

224 = 28 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 9632 and 6916 is 28

Notice that 28 = HCF(224,28) = HCF(252,224) = HCF(1232,252) = HCF(1484,1232) = HCF(2716,1484) = HCF(6916,2716) = HCF(9632,6916) .

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

Step 1: Since 41067 > 28, we apply the division lemma to 41067 and 28, to get

41067 = 28 x 1466 + 19

Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 19 and 28, to get

28 = 19 x 1 + 9

Step 3: We consider the new divisor 19 and the new remainder 9, and apply the division lemma to get

19 = 9 x 2 + 1

We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 28 and 41067 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(41067,28) .

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Frequently Asked Questions on HCF of 9632, 6916, 41067 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 9632, 6916, 41067?

Answer: HCF of 9632, 6916, 41067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9632, 6916, 41067 using Euclid's Algorithm?

Answer: For arbitrary numbers 9632, 6916, 41067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.