Highest Common Factor of 9349, 9055, 59638 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 9349, 9055, 59638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9349, 9055, 59638 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 9349, 9055, 59638 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 9349, 9055, 59638 is 1.

HCF(9349, 9055, 59638) = 1

HCF of 9349, 9055, 59638 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 9349, 9055, 59638 is 1.

Highest Common Factor of 9349,9055,59638 using Euclid's algorithm

Highest Common Factor of 9349,9055,59638 is 1

Step 1: Since 9349 > 9055, we apply the division lemma to 9349 and 9055, to get

9349 = 9055 x 1 + 294

Step 2: Since the reminder 9055 ≠ 0, we apply division lemma to 294 and 9055, to get

9055 = 294 x 30 + 235

Step 3: We consider the new divisor 294 and the new remainder 235, and apply the division lemma to get

294 = 235 x 1 + 59

We consider the new divisor 235 and the new remainder 59,and apply the division lemma to get

235 = 59 x 3 + 58

We consider the new divisor 59 and the new remainder 58,and apply the division lemma to get

59 = 58 x 1 + 1

We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get

58 = 1 x 58 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9349 and 9055 is 1

Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(235,59) = HCF(294,235) = HCF(9055,294) = HCF(9349,9055) .

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

Step 1: Since 59638 > 1, we apply the division lemma to 59638 and 1, to get

59638 = 1 x 59638 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59638 is 1

Notice that 1 = HCF(59638,1) .

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Frequently Asked Questions on HCF of 9349, 9055, 59638 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 9349, 9055, 59638?

Answer: HCF of 9349, 9055, 59638 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9349, 9055, 59638 using Euclid's Algorithm?

Answer: For arbitrary numbers 9349, 9055, 59638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.