Highest Common Factor of 9356, 5977, 16769 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 9356, 5977, 16769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9356, 5977, 16769 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 9356, 5977, 16769 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 9356, 5977, 16769 is 1.

HCF(9356, 5977, 16769) = 1

HCF of 9356, 5977, 16769 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 9356, 5977, 16769 is 1.

Highest Common Factor of 9356,5977,16769 using Euclid's algorithm

Highest Common Factor of 9356,5977,16769 is 1

Step 1: Since 9356 > 5977, we apply the division lemma to 9356 and 5977, to get

9356 = 5977 x 1 + 3379

Step 2: Since the reminder 5977 ≠ 0, we apply division lemma to 3379 and 5977, to get

5977 = 3379 x 1 + 2598

Step 3: We consider the new divisor 3379 and the new remainder 2598, and apply the division lemma to get

3379 = 2598 x 1 + 781

We consider the new divisor 2598 and the new remainder 781,and apply the division lemma to get

2598 = 781 x 3 + 255

We consider the new divisor 781 and the new remainder 255,and apply the division lemma to get

781 = 255 x 3 + 16

We consider the new divisor 255 and the new remainder 16,and apply the division lemma to get

255 = 16 x 15 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9356 and 5977 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(255,16) = HCF(781,255) = HCF(2598,781) = HCF(3379,2598) = HCF(5977,3379) = HCF(9356,5977) .

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

Step 1: Since 16769 > 1, we apply the division lemma to 16769 and 1, to get

16769 = 1 x 16769 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16769 is 1

Notice that 1 = HCF(16769,1) .

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Frequently Asked Questions on HCF of 9356, 5977, 16769 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 9356, 5977, 16769?

Answer: HCF of 9356, 5977, 16769 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9356, 5977, 16769 using Euclid's Algorithm?

Answer: For arbitrary numbers 9356, 5977, 16769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.