Highest Common Factor of 552, 5481, 9386 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 552, 5481, 9386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 552, 5481, 9386 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 552, 5481, 9386 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 552, 5481, 9386 is 1.

HCF(552, 5481, 9386) = 1

HCF of 552, 5481, 9386 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 552, 5481, 9386 is 1.

Highest Common Factor of 552,5481,9386 using Euclid's algorithm

Highest Common Factor of 552,5481,9386 is 1

Step 1: Since 5481 > 552, we apply the division lemma to 5481 and 552, to get

5481 = 552 x 9 + 513

Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 513 and 552, to get

552 = 513 x 1 + 39

Step 3: We consider the new divisor 513 and the new remainder 39, and apply the division lemma to get

513 = 39 x 13 + 6

We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get

39 = 6 x 6 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 552 and 5481 is 3

Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(513,39) = HCF(552,513) = HCF(5481,552) .

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

Step 1: Since 9386 > 3, we apply the division lemma to 9386 and 3, to get

9386 = 3 x 3128 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 9386 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(9386,3) .

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Frequently Asked Questions on HCF of 552, 5481, 9386 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 552, 5481, 9386?

Answer: HCF of 552, 5481, 9386 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 552, 5481, 9386 using Euclid's Algorithm?

Answer: For arbitrary numbers 552, 5481, 9386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.