Highest Common Factor of 5528, 1605 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 5528, 1605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5528, 1605 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 5528, 1605 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 5528, 1605 is 1.

HCF(5528, 1605) = 1

HCF of 5528, 1605 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 5528, 1605 is 1.

Highest Common Factor of 5528,1605 using Euclid's algorithm

Highest Common Factor of 5528,1605 is 1

Step 1: Since 5528 > 1605, we apply the division lemma to 5528 and 1605, to get

5528 = 1605 x 3 + 713

Step 2: Since the reminder 1605 ≠ 0, we apply division lemma to 713 and 1605, to get

1605 = 713 x 2 + 179

Step 3: We consider the new divisor 713 and the new remainder 179, and apply the division lemma to get

713 = 179 x 3 + 176

We consider the new divisor 179 and the new remainder 176,and apply the division lemma to get

179 = 176 x 1 + 3

We consider the new divisor 176 and the new remainder 3,and apply the division lemma to get

176 = 3 x 58 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5528 and 1605 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(176,3) = HCF(179,176) = HCF(713,179) = HCF(1605,713) = HCF(5528,1605) .

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Frequently Asked Questions on HCF of 5528, 1605 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 5528, 1605?

Answer: HCF of 5528, 1605 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5528, 1605 using Euclid's Algorithm?

Answer: For arbitrary numbers 5528, 1605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.