Highest Common Factor of 4603, 8320 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 4603, 8320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4603, 8320 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 4603, 8320 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 4603, 8320 is 1.

HCF(4603, 8320) = 1

HCF of 4603, 8320 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4603, 8320 is 1.

Highest Common Factor of 4603,8320 using Euclid's algorithm

Highest Common Factor of 4603,8320 is 1

Step 1: Since 8320 > 4603, we apply the division lemma to 8320 and 4603, to get

8320 = 4603 x 1 + 3717

Step 2: Since the reminder 4603 ≠ 0, we apply division lemma to 3717 and 4603, to get

4603 = 3717 x 1 + 886

Step 3: We consider the new divisor 3717 and the new remainder 886, and apply the division lemma to get

3717 = 886 x 4 + 173

We consider the new divisor 886 and the new remainder 173,and apply the division lemma to get

886 = 173 x 5 + 21

We consider the new divisor 173 and the new remainder 21,and apply the division lemma to get

173 = 21 x 8 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4603 and 8320 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(173,21) = HCF(886,173) = HCF(3717,886) = HCF(4603,3717) = HCF(8320,4603) .

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Frequently Asked Questions on HCF of 4603, 8320 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 4603, 8320?

Answer: HCF of 4603, 8320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4603, 8320 using Euclid's Algorithm?

Answer: For arbitrary numbers 4603, 8320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.