Highest Common Factor of 9778, 8549, 44653 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 9778, 8549, 44653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9778, 8549, 44653 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 9778, 8549, 44653 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 9778, 8549, 44653 is 1.

HCF(9778, 8549, 44653) = 1

HCF of 9778, 8549, 44653 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 9778, 8549, 44653 is 1.

Highest Common Factor of 9778,8549,44653 using Euclid's algorithm

Highest Common Factor of 9778,8549,44653 is 1

Step 1: Since 9778 > 8549, we apply the division lemma to 9778 and 8549, to get

9778 = 8549 x 1 + 1229

Step 2: Since the reminder 8549 ≠ 0, we apply division lemma to 1229 and 8549, to get

8549 = 1229 x 6 + 1175

Step 3: We consider the new divisor 1229 and the new remainder 1175, and apply the division lemma to get

1229 = 1175 x 1 + 54

We consider the new divisor 1175 and the new remainder 54,and apply the division lemma to get

1175 = 54 x 21 + 41

We consider the new divisor 54 and the new remainder 41,and apply the division lemma to get

54 = 41 x 1 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9778 and 8549 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(54,41) = HCF(1175,54) = HCF(1229,1175) = HCF(8549,1229) = HCF(9778,8549) .

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

Step 1: Since 44653 > 1, we apply the division lemma to 44653 and 1, to get

44653 = 1 x 44653 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44653 is 1

Notice that 1 = HCF(44653,1) .

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Frequently Asked Questions on HCF of 9778, 8549, 44653 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 9778, 8549, 44653?

Answer: HCF of 9778, 8549, 44653 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9778, 8549, 44653 using Euclid's Algorithm?

Answer: For arbitrary numbers 9778, 8549, 44653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.