Highest Common Factor of 8988, 1055 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 8988, 1055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8988, 1055 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 8988, 1055 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 8988, 1055 is 1.

HCF(8988, 1055) = 1

HCF of 8988, 1055 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 8988, 1055 is 1.

Highest Common Factor of 8988,1055 using Euclid's algorithm

Highest Common Factor of 8988,1055 is 1

Step 1: Since 8988 > 1055, we apply the division lemma to 8988 and 1055, to get

8988 = 1055 x 8 + 548

Step 2: Since the reminder 1055 ≠ 0, we apply division lemma to 548 and 1055, to get

1055 = 548 x 1 + 507

Step 3: We consider the new divisor 548 and the new remainder 507, and apply the division lemma to get

548 = 507 x 1 + 41

We consider the new divisor 507 and the new remainder 41,and apply the division lemma to get

507 = 41 x 12 + 15

We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get

41 = 15 x 2 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8988 and 1055 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(507,41) = HCF(548,507) = HCF(1055,548) = HCF(8988,1055) .

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Frequently Asked Questions on HCF of 8988, 1055 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 8988, 1055?

Answer: HCF of 8988, 1055 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8988, 1055 using Euclid's Algorithm?

Answer: For arbitrary numbers 8988, 1055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.