Highest Common Factor of 6063, 9305, 46029 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 6063, 9305, 46029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6063, 9305, 46029 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 6063, 9305, 46029 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 6063, 9305, 46029 is 1.

HCF(6063, 9305, 46029) = 1

HCF of 6063, 9305, 46029 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 6063, 9305, 46029 is 1.

Highest Common Factor of 6063,9305,46029 using Euclid's algorithm

Highest Common Factor of 6063,9305,46029 is 1

Step 1: Since 9305 > 6063, we apply the division lemma to 9305 and 6063, to get

9305 = 6063 x 1 + 3242

Step 2: Since the reminder 6063 ≠ 0, we apply division lemma to 3242 and 6063, to get

6063 = 3242 x 1 + 2821

Step 3: We consider the new divisor 3242 and the new remainder 2821, and apply the division lemma to get

3242 = 2821 x 1 + 421

We consider the new divisor 2821 and the new remainder 421,and apply the division lemma to get

2821 = 421 x 6 + 295

We consider the new divisor 421 and the new remainder 295,and apply the division lemma to get

421 = 295 x 1 + 126

We consider the new divisor 295 and the new remainder 126,and apply the division lemma to get

295 = 126 x 2 + 43

We consider the new divisor 126 and the new remainder 43,and apply the division lemma to get

126 = 43 x 2 + 40

We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get

43 = 40 x 1 + 3

We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get

40 = 3 x 13 + 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 6063 and 9305 is 1

Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(126,43) = HCF(295,126) = HCF(421,295) = HCF(2821,421) = HCF(3242,2821) = HCF(6063,3242) = HCF(9305,6063) .

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

Step 1: Since 46029 > 1, we apply the division lemma to 46029 and 1, to get

46029 = 1 x 46029 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46029 is 1

Notice that 1 = HCF(46029,1) .

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Frequently Asked Questions on HCF of 6063, 9305, 46029 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 6063, 9305, 46029?

Answer: HCF of 6063, 9305, 46029 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6063, 9305, 46029 using Euclid's Algorithm?

Answer: For arbitrary numbers 6063, 9305, 46029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.