Highest Common Factor of 5487, 9956, 93552 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 5487, 9956, 93552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5487, 9956, 93552 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 5487, 9956, 93552 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 5487, 9956, 93552 is 1.

HCF(5487, 9956, 93552) = 1

HCF of 5487, 9956, 93552 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 5487, 9956, 93552 is 1.

Highest Common Factor of 5487,9956,93552 using Euclid's algorithm

Highest Common Factor of 5487,9956,93552 is 1

Step 1: Since 9956 > 5487, we apply the division lemma to 9956 and 5487, to get

9956 = 5487 x 1 + 4469

Step 2: Since the reminder 5487 ≠ 0, we apply division lemma to 4469 and 5487, to get

5487 = 4469 x 1 + 1018

Step 3: We consider the new divisor 4469 and the new remainder 1018, and apply the division lemma to get

4469 = 1018 x 4 + 397

We consider the new divisor 1018 and the new remainder 397,and apply the division lemma to get

1018 = 397 x 2 + 224

We consider the new divisor 397 and the new remainder 224,and apply the division lemma to get

397 = 224 x 1 + 173

We consider the new divisor 224 and the new remainder 173,and apply the division lemma to get

224 = 173 x 1 + 51

We consider the new divisor 173 and the new remainder 51,and apply the division lemma to get

173 = 51 x 3 + 20

We consider the new divisor 51 and the new remainder 20,and apply the division lemma to get

51 = 20 x 2 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5487 and 9956 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(51,20) = HCF(173,51) = HCF(224,173) = HCF(397,224) = HCF(1018,397) = HCF(4469,1018) = HCF(5487,4469) = HCF(9956,5487) .

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

Step 1: Since 93552 > 1, we apply the division lemma to 93552 and 1, to get

93552 = 1 x 93552 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93552 is 1

Notice that 1 = HCF(93552,1) .

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Frequently Asked Questions on HCF of 5487, 9956, 93552 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 5487, 9956, 93552?

Answer: HCF of 5487, 9956, 93552 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5487, 9956, 93552 using Euclid's Algorithm?

Answer: For arbitrary numbers 5487, 9956, 93552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.