Highest Common Factor of 9169, 5550 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 9169, 5550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9169, 5550 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 9169, 5550 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 9169, 5550 is 1.

HCF(9169, 5550) = 1

HCF of 9169, 5550 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 9169, 5550 is 1.

Highest Common Factor of 9169,5550 using Euclid's algorithm

Highest Common Factor of 9169,5550 is 1

Step 1: Since 9169 > 5550, we apply the division lemma to 9169 and 5550, to get

9169 = 5550 x 1 + 3619

Step 2: Since the reminder 5550 ≠ 0, we apply division lemma to 3619 and 5550, to get

5550 = 3619 x 1 + 1931

Step 3: We consider the new divisor 3619 and the new remainder 1931, and apply the division lemma to get

3619 = 1931 x 1 + 1688

We consider the new divisor 1931 and the new remainder 1688,and apply the division lemma to get

1931 = 1688 x 1 + 243

We consider the new divisor 1688 and the new remainder 243,and apply the division lemma to get

1688 = 243 x 6 + 230

We consider the new divisor 243 and the new remainder 230,and apply the division lemma to get

243 = 230 x 1 + 13

We consider the new divisor 230 and the new remainder 13,and apply the division lemma to get

230 = 13 x 17 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9169 and 5550 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(230,13) = HCF(243,230) = HCF(1688,243) = HCF(1931,1688) = HCF(3619,1931) = HCF(5550,3619) = HCF(9169,5550) .

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Frequently Asked Questions on HCF of 9169, 5550 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 9169, 5550?

Answer: HCF of 9169, 5550 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9169, 5550 using Euclid's Algorithm?

Answer: For arbitrary numbers 9169, 5550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.