Highest Common Factor of 1634, 6063 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 1634, 6063 i.e. 43 the largest integer that leaves a remainder zero for all numbers.

HCF of 1634, 6063 is 43 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 1634, 6063 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 1634, 6063 is 43.

HCF(1634, 6063) = 43

HCF of 1634, 6063 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 1634, 6063 is 43.

Highest Common Factor of 1634,6063 using Euclid's algorithm

Highest Common Factor of 1634,6063 is 43

Step 1: Since 6063 > 1634, we apply the division lemma to 6063 and 1634, to get

6063 = 1634 x 3 + 1161

Step 2: Since the reminder 1634 ≠ 0, we apply division lemma to 1161 and 1634, to get

1634 = 1161 x 1 + 473

Step 3: We consider the new divisor 1161 and the new remainder 473, and apply the division lemma to get

1161 = 473 x 2 + 215

We consider the new divisor 473 and the new remainder 215,and apply the division lemma to get

473 = 215 x 2 + 43

We consider the new divisor 215 and the new remainder 43,and apply the division lemma to get

215 = 43 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 1634 and 6063 is 43

Notice that 43 = HCF(215,43) = HCF(473,215) = HCF(1161,473) = HCF(1634,1161) = HCF(6063,1634) .

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Frequently Asked Questions on HCF of 1634, 6063 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 1634, 6063?

Answer: HCF of 1634, 6063 is 43 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1634, 6063 using Euclid's Algorithm?

Answer: For arbitrary numbers 1634, 6063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.