Highest Common Factor of 8548, 5529 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 8548, 5529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8548, 5529 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 8548, 5529 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 8548, 5529 is 1.

HCF(8548, 5529) = 1

HCF of 8548, 5529 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 8548, 5529 is 1.

Highest Common Factor of 8548,5529 using Euclid's algorithm

Highest Common Factor of 8548,5529 is 1

Step 1: Since 8548 > 5529, we apply the division lemma to 8548 and 5529, to get

8548 = 5529 x 1 + 3019

Step 2: Since the reminder 5529 ≠ 0, we apply division lemma to 3019 and 5529, to get

5529 = 3019 x 1 + 2510

Step 3: We consider the new divisor 3019 and the new remainder 2510, and apply the division lemma to get

3019 = 2510 x 1 + 509

We consider the new divisor 2510 and the new remainder 509,and apply the division lemma to get

2510 = 509 x 4 + 474

We consider the new divisor 509 and the new remainder 474,and apply the division lemma to get

509 = 474 x 1 + 35

We consider the new divisor 474 and the new remainder 35,and apply the division lemma to get

474 = 35 x 13 + 19

We consider the new divisor 35 and the new remainder 19,and apply the division lemma to get

35 = 19 x 1 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8548 and 5529 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(35,19) = HCF(474,35) = HCF(509,474) = HCF(2510,509) = HCF(3019,2510) = HCF(5529,3019) = HCF(8548,5529) .

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Frequently Asked Questions on HCF of 8548, 5529 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 8548, 5529?

Answer: HCF of 8548, 5529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8548, 5529 using Euclid's Algorithm?

Answer: For arbitrary numbers 8548, 5529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.