Highest Common Factor of 9551, 5909, 45639 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 9551, 5909, 45639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9551, 5909, 45639 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 9551, 5909, 45639 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 9551, 5909, 45639 is 1.

HCF(9551, 5909, 45639) = 1

HCF of 9551, 5909, 45639 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 9551, 5909, 45639 is 1.

Highest Common Factor of 9551,5909,45639 using Euclid's algorithm

Highest Common Factor of 9551,5909,45639 is 1

Step 1: Since 9551 > 5909, we apply the division lemma to 9551 and 5909, to get

9551 = 5909 x 1 + 3642

Step 2: Since the reminder 5909 ≠ 0, we apply division lemma to 3642 and 5909, to get

5909 = 3642 x 1 + 2267

Step 3: We consider the new divisor 3642 and the new remainder 2267, and apply the division lemma to get

3642 = 2267 x 1 + 1375

We consider the new divisor 2267 and the new remainder 1375,and apply the division lemma to get

2267 = 1375 x 1 + 892

We consider the new divisor 1375 and the new remainder 892,and apply the division lemma to get

1375 = 892 x 1 + 483

We consider the new divisor 892 and the new remainder 483,and apply the division lemma to get

892 = 483 x 1 + 409

We consider the new divisor 483 and the new remainder 409,and apply the division lemma to get

483 = 409 x 1 + 74

We consider the new divisor 409 and the new remainder 74,and apply the division lemma to get

409 = 74 x 5 + 39

We consider the new divisor 74 and the new remainder 39,and apply the division lemma to get

74 = 39 x 1 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9551 and 5909 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(74,39) = HCF(409,74) = HCF(483,409) = HCF(892,483) = HCF(1375,892) = HCF(2267,1375) = HCF(3642,2267) = HCF(5909,3642) = HCF(9551,5909) .

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

Step 1: Since 45639 > 1, we apply the division lemma to 45639 and 1, to get

45639 = 1 x 45639 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45639 is 1

Notice that 1 = HCF(45639,1) .

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Frequently Asked Questions on HCF of 9551, 5909, 45639 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 9551, 5909, 45639?

Answer: HCF of 9551, 5909, 45639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9551, 5909, 45639 using Euclid's Algorithm?

Answer: For arbitrary numbers 9551, 5909, 45639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.