Highest Common Factor of 5552, 9467 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 5552, 9467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5552, 9467 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 5552, 9467 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 5552, 9467 is 1.

HCF(5552, 9467) = 1

HCF of 5552, 9467 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 5552, 9467 is 1.

Highest Common Factor of 5552,9467 using Euclid's algorithm

Highest Common Factor of 5552,9467 is 1

Step 1: Since 9467 > 5552, we apply the division lemma to 9467 and 5552, to get

9467 = 5552 x 1 + 3915

Step 2: Since the reminder 5552 ≠ 0, we apply division lemma to 3915 and 5552, to get

5552 = 3915 x 1 + 1637

Step 3: We consider the new divisor 3915 and the new remainder 1637, and apply the division lemma to get

3915 = 1637 x 2 + 641

We consider the new divisor 1637 and the new remainder 641,and apply the division lemma to get

1637 = 641 x 2 + 355

We consider the new divisor 641 and the new remainder 355,and apply the division lemma to get

641 = 355 x 1 + 286

We consider the new divisor 355 and the new remainder 286,and apply the division lemma to get

355 = 286 x 1 + 69

We consider the new divisor 286 and the new remainder 69,and apply the division lemma to get

286 = 69 x 4 + 10

We consider the new divisor 69 and the new remainder 10,and apply the division lemma to get

69 = 10 x 6 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 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 5552 and 9467 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(69,10) = HCF(286,69) = HCF(355,286) = HCF(641,355) = HCF(1637,641) = HCF(3915,1637) = HCF(5552,3915) = HCF(9467,5552) .

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Frequently Asked Questions on HCF of 5552, 9467 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 5552, 9467?

Answer: HCF of 5552, 9467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5552, 9467 using Euclid's Algorithm?

Answer: For arbitrary numbers 5552, 9467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.