Highest Common Factor of 1776, 8023, 28356 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 1776, 8023, 28356 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1776, 8023, 28356 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 1776, 8023, 28356 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 1776, 8023, 28356 is 1.

HCF(1776, 8023, 28356) = 1

HCF of 1776, 8023, 28356 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 1776, 8023, 28356 is 1.

Highest Common Factor of 1776,8023,28356 using Euclid's algorithm

Highest Common Factor of 1776,8023,28356 is 1

Step 1: Since 8023 > 1776, we apply the division lemma to 8023 and 1776, to get

8023 = 1776 x 4 + 919

Step 2: Since the reminder 1776 ≠ 0, we apply division lemma to 919 and 1776, to get

1776 = 919 x 1 + 857

Step 3: We consider the new divisor 919 and the new remainder 857, and apply the division lemma to get

919 = 857 x 1 + 62

We consider the new divisor 857 and the new remainder 62,and apply the division lemma to get

857 = 62 x 13 + 51

We consider the new divisor 62 and the new remainder 51,and apply the division lemma to get

62 = 51 x 1 + 11

We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get

51 = 11 x 4 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 1776 and 8023 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(62,51) = HCF(857,62) = HCF(919,857) = HCF(1776,919) = HCF(8023,1776) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 28356 > 1, we apply the division lemma to 28356 and 1, to get

28356 = 1 x 28356 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28356 is 1

Notice that 1 = HCF(28356,1) .

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Frequently Asked Questions on HCF of 1776, 8023, 28356 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 1776, 8023, 28356?

Answer: HCF of 1776, 8023, 28356 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1776, 8023, 28356 using Euclid's Algorithm?

Answer: For arbitrary numbers 1776, 8023, 28356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.