Highest Common Factor of 5280, 9433 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 5280, 9433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5280, 9433 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 5280, 9433 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 5280, 9433 is 1.

HCF(5280, 9433) = 1

HCF of 5280, 9433 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 5280, 9433 is 1.

Highest Common Factor of 5280,9433 using Euclid's algorithm

Highest Common Factor of 5280,9433 is 1

Step 1: Since 9433 > 5280, we apply the division lemma to 9433 and 5280, to get

9433 = 5280 x 1 + 4153

Step 2: Since the reminder 5280 ≠ 0, we apply division lemma to 4153 and 5280, to get

5280 = 4153 x 1 + 1127

Step 3: We consider the new divisor 4153 and the new remainder 1127, and apply the division lemma to get

4153 = 1127 x 3 + 772

We consider the new divisor 1127 and the new remainder 772,and apply the division lemma to get

1127 = 772 x 1 + 355

We consider the new divisor 772 and the new remainder 355,and apply the division lemma to get

772 = 355 x 2 + 62

We consider the new divisor 355 and the new remainder 62,and apply the division lemma to get

355 = 62 x 5 + 45

We consider the new divisor 62 and the new remainder 45,and apply the division lemma to get

62 = 45 x 1 + 17

We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get

45 = 17 x 2 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 5280 and 9433 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(62,45) = HCF(355,62) = HCF(772,355) = HCF(1127,772) = HCF(4153,1127) = HCF(5280,4153) = HCF(9433,5280) .

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Frequently Asked Questions on HCF of 5280, 9433 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 5280, 9433?

Answer: HCF of 5280, 9433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5280, 9433 using Euclid's Algorithm?

Answer: For arbitrary numbers 5280, 9433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.