Highest Common Factor of 5465, 4806 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 5465, 4806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5465, 4806 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 5465, 4806 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 5465, 4806 is 1.

HCF(5465, 4806) = 1

HCF of 5465, 4806 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 5465, 4806 is 1.

Highest Common Factor of 5465,4806 using Euclid's algorithm

Highest Common Factor of 5465,4806 is 1

Step 1: Since 5465 > 4806, we apply the division lemma to 5465 and 4806, to get

5465 = 4806 x 1 + 659

Step 2: Since the reminder 4806 ≠ 0, we apply division lemma to 659 and 4806, to get

4806 = 659 x 7 + 193

Step 3: We consider the new divisor 659 and the new remainder 193, and apply the division lemma to get

659 = 193 x 3 + 80

We consider the new divisor 193 and the new remainder 80,and apply the division lemma to get

193 = 80 x 2 + 33

We consider the new divisor 80 and the new remainder 33,and apply the division lemma to get

80 = 33 x 2 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5465 and 4806 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(80,33) = HCF(193,80) = HCF(659,193) = HCF(4806,659) = HCF(5465,4806) .

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Frequently Asked Questions on HCF of 5465, 4806 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 5465, 4806?

Answer: HCF of 5465, 4806 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5465, 4806 using Euclid's Algorithm?

Answer: For arbitrary numbers 5465, 4806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.